A096371 Arithmetic derivative of n-th partition number.

0, 0, 1, 1, 1, 1, 1, 8, 13, 31, 41, 92, 18, 1, 162, 368, 131, 324, 167, 483, 299, 1788, 841, 256, 1905, 1179, 3680, 2607, 2769, 1383, 7484, 4065, 4664, 10101, 8627, 8030, 1, 5135, 10538, 55107, 42077, 25514, 31443, 90990, 33270, 46823, 89849, 106449, 70151

Offset

0,8

Comments

a(n) = A003415(A000041(n)); a(A049575(n)) = 1.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..3000

Maple

a:= n->(p->p*add(i[2]/i[1], i=ifactors(p)[2]))(combinat[numbpart](n)):
seq(a(n), n=0..100);  # Alois P. Heinz, Jun 04 2015

Crossrefs

Sequence in context: A246639 A287922 A321483 * A354595 A063585 A258768

Adjacent sequences: A096368 A096369 A096370 * A096372 A096373 A096374

Keyword

nonn

Author

Reinhard Zumkeller, Jul 19 2004

Status

approved