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A096371 Arithmetic derivative of n-th partition number. 2
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 (list; graph; refs; listen; history; text; internal format)
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 * A063585 A258768 A048851

Adjacent sequences:  A096368 A096369 A096370 * A096372 A096373 A096374

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 19 2004

STATUS

approved

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Last modified November 17 11:02 EST 2019. Contains 329226 sequences. (Running on oeis4.)