The Collaborative International Dictionary of English v.0.48:

Sequence \Se"quence\ (s[=e]"kwens), n. [F. s['e]quence, L.
   sequentia, fr. sequens. See Sequent.]
   1. The state of being sequent; succession; order of
      following; arrangement.
      [1913 Webster]

            How art thou a king
            But by fair sequence and succession?  --Shak.
      [1913 Webster]

            Sequence and series of the seasons of the year.
                                                  --Bacon.
      [1913 Webster]

   2. That which follows or succeeds as an effect; sequel;
      consequence; result.
      [1913 Webster]

            The inevitable sequences of sin and punishment.
                                                  --Bp. Hall.
      [1913 Webster]

   3. (Philos.) Simple succession, or the coming after in time,
      without asserting or implying causative energy; as, the
      reactions of chemical agents may be conceived as merely
      invariable sequences.
      [1913 Webster]

   4. (Mus.)
      (a) Any succession of chords (or harmonic phrase) rising
          or falling by the regular diatonic degrees in the same
          scale; a succession of similar harmonic steps.
      (b) A melodic phrase or passage successively repeated one
          tone higher; a rosalia.
          [1913 Webster]

   5. (R.C.Ch.) A hymn introduced in the Mass on certain
      festival days, and recited or sung immediately before the
      gospel, and after the gradual or introit, whence the name.
      --Bp. Fitzpatrick.
      [1913 Webster]

            Originally the sequence was called a Prose, because
            its early form was rhythmical prose.  --Shipley.
      [1913 Webster]

   6. (Card Playing)
      (a) (Whist) Three or more cards of the same suit in
          immediately consecutive order of value; as, ace, king,
          and queen; or knave, ten, nine, and eight.
      (b) (Poker) All five cards, of a hand, in consecutive
          order as to value, but not necessarily of the same
          suit; when of one suit, it is called a sequence
          flush.
          [1913 Webster]

   7. the specific order of any linear arrangement of items; as,
      the sequence of amino acid residues in a protein; the
      sequence of instructions in a computer program; the
      sequence of acts in a variety show.
      [PJC]

The Collaborative International Dictionary of English v.0.48:

Sequence \Se"quence\, v. t. (Biochem.)
   to determine the sequence of; as, to sequence a protein or a
   DNA fragment.
   [PJC]

WordNet (r) 3.0 (2006):

sequence
    n 1: serial arrangement in which things follow in logical order
         or a recurrent pattern; "the sequence of names was
         alphabetical"; "he invented a technique to determine the
         sequence of base pairs in DNA"
    2: a following of one thing after another in time; "the doctor
       saw a sequence of patients" [syn: sequence, chronological
       sequence, succession, successiveness, chronological
       succession]
    3: film consisting of a succession of related shots that develop
       a given subject in a movie [syn: sequence, episode]
    4: the action of following in order; "he played the trumps in
       sequence" [syn: succession, sequence]
    5: several repetitions of a melodic phrase in different keys
    v 1: arrange in a sequence
    2: determine the order of constituents in; "They sequenced the
       human genome"

Moby Thesaurus II by Grady Ward, 1.0:

134 Moby Thesaurus words for "sequence":
   Indian file, aftereffect, afterlife, aftermath, alternation,
   arrangement, array, articulation, bank, buzz, by-product, catena,
   catenation, chain, chain reaction, chaining, chasing,
   classification, concatenation, connectedness, connection,
   consecution, consecutiveness, consequence, consequent, consistency,
   continuity, continuum, corollary, course, cycle, degree,
   derivation, derivative, descent, development, disposal,
   disposition, distillate, distribution, dogging, drone, effect,
   endless belt, endless round, event, eventuality, eventuation, file,
   filiation, following, fruit, future time, gamut, gradation,
   grouping, hangover, harvest, heeling, hierarchy, hounding, hum,
   issue, lateness, legacy, line, lineage, logical outcome, monotone,
   next life, nexus, offshoot, offspring, order, ordering,
   orderliness, organization, outcome, outgrowth, pendulum,
   periodicity, place, placement, plenum, postdate, postdating,
   posteriority, powder train, precipitate, procession, product,
   progression, provenience, pursual, pursuance, pursuit, queue,
   range, rank, recurrence, remainder, result, resultant,
   reticulation, rotation, round, routine, row, run, scale, sequel,
   sequela, sequent, serial order, series, set, shadowing,
   single file, spectrum, string, subordination, subsequence,
   succession, supervenience, supervention, swath, system, tailing,
   thread, tier, trailing, train, upshot, windrow



The Free On-line Dictionary of Computing (30 December 2018):

sequence

   A collection of related things in a specific order.  In
   mathematics, numbers are represented as sequences of digits
   e.g. bits, decimal digits, hexadecimal digits, etc.
   There are also sequences of numbers where each number is
   related to previous numbers, e.g. the Fibonacci sequence.
   In computing the sequence of instructions that a computer
   follows when executing a program is called control flow; a
   sequence of characters is also known as a "(character)
   string" (e.g. an escape sequence); a sequence of images
   forms a video; a sound recording is an example of a sequence
   of samples of an analogue signal.  In probability
   theory, a sequence of events can be described by a Markov
   chain.

   (2015-09-01)