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 A029761 Partial sums of A005001. 7
 1, 3, 7, 16, 40, 116, 395, 1551, 6847, 33290, 175708, 996696, 6031281, 38710303, 262288647, 1868825536, 13955504572, 108907053412, 885935408411, 7495705968467, 65829634763895, 599033379716074, 5638952863115576, 54830878201599424, 549981672834888561 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Convolution of A000027 (assuming offset 0) by A000110. - R. J. Mathar, Nov 27 2018 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..500 FORMULA G.f.: (1/(1 - x)^2) * Sum_{i>=0} x^i / Product_{j=1..i} (1 - j*x). - Ilya Gutkovskiy, Jun 05 2017 MAPLE b:= proc(n) option remember; `if`(n>0, b(n-1), 0)+combinat[bell](n) end: a:= proc(n) option remember; `if`(n>0, a(n-1), 0)+b(n) end: seq(a(n), n=0..30);  # Alois P. Heinz, Apr 20 2012 MATHEMATICA Table[Sum[BellB[k], {k, 0, n }], {n, 0, 24}] // Accumulate (* Jean-François Alcover, Mar 13 2014 *) CROSSREFS Cf. A005001. Sequence in context: A263316 A001698 A261236 * A009337 A323776 A036567 Adjacent sequences:  A029758 A029759 A029760 * A029762 A029763 A029764 KEYWORD nonn AUTHOR STATUS approved

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Last modified April 18 02:28 EDT 2021. Contains 343072 sequences. (Running on oeis4.)