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 A189672 Partial sums of A080846. 3
 0, 1, 1, 1, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9, 10, 10, 10, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 20, 20, 21, 22, 22, 23, 23, 23, 24, 25, 25, 26, 27, 27, 28, 28, 28, 29, 30, 30, 31, 31, 31, 32, 32, 32, 33, 34, 34, 35, 36, 36, 37, 37, 37, 38, 39, 39, 40 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Almost identical to A189641. LINKS FORMULA s(n)=[(n+1)/3]+s([n/3]), where s(0)=0. MATHEMATICA t = Nest[Flatten[# /. {0->{0, 1, 0}, 1->{0, 1, 1}}] &, {0}, 5] (*A080846*) f[n_] := t[[n]] Flatten[Position[t, 0]] (* A026225 conjectured *) Flatten[Position[t, 1]] (* A026179 conjectured *) s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0; Table[s[n], {n, 1, 120}] (*A189672*) CROSSREFS Cf. A080846, A026225, A026179. Sequence in context: A196376 A156077 A189641 * A058889 A226143 A166724 Adjacent sequences:  A189669 A189670 A189671 * A189673 A189674 A189675 KEYWORD nonn AUTHOR Clark Kimberling, Apr 25 2011 STATUS approved

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Last modified February 24 12:13 EST 2020. Contains 332209 sequences. (Running on oeis4.)