A182704 Row sums of triangle A182700.

0, 2, 8, 21, 48, 95, 180, 315, 536, 873, 1390, 2145, 3264, 4849, 7112, 10260, 14640, 20604, 28746, 39653, 54280, 73626, 99176, 132549, 176112, 232400, 305032, 398034, 516880, 667725, 858870

Offset

0,2

Links

Robert Price, Table of n, a(n) for n = 0..2000 (First 2000 rows)

Formula

a(n) = n*A000070(n).

G.f.: x*f'(x), where f(x) = (1/(1 - x))*Product_{k>=1} 1/(1 - x^k). - Ilya Gutkovskiy, Apr 13 2017

Mathematica

Total /@ Table[n*PartitionsP[n-k], {n, 0, 30}, {k, 0, n}]  (* Robert Price, Jun 23 2020 *)

Crossrefs

Cf. A182700, A182701, A182705.

Sequence in context: A275740 A141582 A192692 * A000160 A034519 A014409

Adjacent sequences: A182701 A182702 A182703 * A182705 A182706 A182707

Keyword

nonn

Author

Omar E. Pol, Nov 28 2010

Status

approved