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 A363038 The decimal digits of a(n) correspond to the Gilbreath transform of the decimal digits of n. 1
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 11, 12, 13, 14, 15, 16, 17, 18, 22, 21, 20, 21, 22, 23, 24, 25, 26, 27, 33, 32, 31, 30, 31, 32, 33, 34, 35, 36, 44, 43, 42, 41, 40, 41, 42, 43, 44, 45, 55, 54, 53, 52, 51, 50, 51, 52, 53, 54, 66, 65, 64, 63, 62, 61, 60, 61 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Leading zeros are ignored. This sequence preserves the number of digits (A055642) as well as the initial digit (A000030). LINKS Rémy Sigrist, Table of n, a(n) for n = 0..10000 N. J. A. Sloane, Maple code for Gilbreath transform and related arrays EXAMPLE For n = 1029: the Gilbreath transform of (1 0 2 9) is (1 1 1 4), so a(1029) = 1114. MATHEMATICA A363038[n_]:=Module[{d=IntegerDigits[n]}, FromDigits[Join[{First[d]}, Table[First[d=Abs[Differences[d]]], Length[d]-1]]]]; Array[A363038, 200, 0] (* Paolo Xausa, May 19 2023 *) PROG (PARI) a(n, base = 10) = { my (d = digits(n, base), t = vector(#d)); for (i = 1, #d, t[i] = d[1]; d = vector(#d-1, j, abs(d[j+1]-d[j])); ); fromdigits(t, base); } CROSSREFS Cf. A000030, A055642, A334727 (base-2 analog). Sequence in context: A261333 A330430 A031086 * A127288 A127287 A239088 Adjacent sequences: A363035 A363036 A363037 * A363039 A363040 A363041 KEYWORD nonn,base,easy AUTHOR Rémy Sigrist, May 14 2023 STATUS approved

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Last modified September 10 09:32 EDT 2024. Contains 375786 sequences. (Running on oeis4.)