A303281 - OEIS

A303281

Expansion of (x/(1 - x)) * (d/dx) Sum_{p prime, k>=1} x^(p^k)/(1 - x^(p^k)).

0, 2, 5, 13, 18, 30, 37, 61, 79, 99, 110, 146, 159, 187, 217, 281, 298, 352, 371, 431, 473, 517, 540, 636, 686, 738, 819, 903, 932, 1022, 1053, 1213, 1279, 1347, 1417, 1561, 1598, 1674, 1752, 1912, 1953, 2079, 2122, 2254, 2389, 2481, 2528, 2768, 2866, 3016, 3118, 3274, 3327, 3543, 3653

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Sum of exponents in prime-power factorization of hyperfactorial: Product_{k=1..n} k^k (A002109).

Partial sums of A066959.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Hyperfactorial.

Eric Weisstein's World of Mathematics, K-Function.

Index entries for sequences computed from exponents in factorization of n.

Index entries for sequences related to factorial numbers.