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 A100787 First differences give the same sequence written as a string of individual digits. 15
 1, 2, 4, 8, 16, 17, 23, 24, 31, 33, 36, 38, 42, 45, 46, 49, 52, 55, 61, 64, 72, 76, 78, 82, 87, 91, 97, 101, 110, 115, 117, 122, 127, 133, 134, 140, 144, 151, 153, 160, 166, 173, 181, 189, 191, 199, 206, 215, 216, 225, 232, 233, 233, 234, 235, 236, 236, 237, 238, 243 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, Volume 59 (Jeux math'), April/June 2008, Paris. LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE 1.2.4.8.16.17.23.24.31 ... <- sequence .1.2.4.8..1..6..1..7... <- first differences are the sequence's digits. MAPLE A[1]:= 1: S:= "1": for n from 2 to 100 do A[n]:= A[n-1] + parse(S[n-1]); S:= cat(S, A[n]); od: seq(A[i], i=1..100); # Robert Israel, Jun 11 2019 MATHEMATICA a[1] = 1; a[n_] := a[n] = a[n - 1] + Flatten[ Table[ IntegerDigits[ a[i]], {i, n - 1}]][[n - 1]]; Table[ a[n], {n, 60}] (* Robert G. Wilson v, Jun 15 2005 *) CROSSREFS First differences are A100880; Cf. A100787, A107974, A107975, A107976, A107977 for "seeds" 1, 3, 5, 7 and 9. Sequence in context: A101466 A129851 A061681 * A115795 A048718 A018510 Adjacent sequences: A100784 A100785 A100786 * A100788 A100789 A100790 KEYWORD base,easy,nonn AUTHOR David W. Wilson, Jan 04 2005 STATUS approved

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Last modified September 15 02:11 EDT 2024. Contains 375929 sequences. (Running on oeis4.)