|
| |
| |
|
|
|
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
|
N. J. A. Sloane.
|
|
|
STATUS
|
approved
|
| |
|
|
