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
Keywords
Links
- Robert Price, Table of n, a(n) for n = 0..2000 (First 2000 rows)
Programs
-
Mathematica
Total /@ Table[n*PartitionsP[n-k], {n, 0, 30}, {k, 0, n}] (* Robert Price, Jun 23 2020 *)
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