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 A189638 Partial sums of A116178. 6
 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 11, 11, 12, 13, 13, 13, 14, 14, 14, 15, 15, 16, 17, 17, 17, 18, 18, 18, 19, 19, 20, 21, 21, 21, 22, 22, 23, 24, 24, 25, 26, 26, 26, 27, 27, 27, 28, 28, 29, 30, 30, 30, 31, 31, 32, 33, 33, 34, 35, 35, 35, 36, 36, 37, 38, 38, 39, 40 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS See A116178. LINKS Table of n, a(n) for n=1..81. FORMULA s(n)=s([(n+1)/3])+[n/3], where s(0)=0. MATHEMATICA t = Nest[Flatten[# /. {0->{0, 0, 1}, 1->{0, 1, 1}}] &, {0}, 5] (*A116178*) f[n_] := t[[n]] Flatten[Position[t, 0]] (*A189636*) Flatten[Position[t, 1]] (*A189637*) s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0; Table[s[n], {n, 1, 120}] (*A189638*) CROSSREFS Cf. A116178, A189636, A189637. Sequence in context: A307483 A034136 A362918 * A097535 A060018 A089576 Adjacent sequences: A189635 A189636 A189637 * A189639 A189640 A189641 KEYWORD nonn AUTHOR Clark Kimberling, Apr 24 2011 STATUS approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)