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A326651 a(n) = Sum_{k>0} k * A326616(k,n). 3
0, 1, 14, 243, 9692, 865445, 196868202, 122831606807, 219073289264824, 1139077903664789577, 17597009238919048388550, 821444189426979675481201211, 116802449602563244067365434335892, 50816512870344533477388136382624158445 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..50

FORMULA

a(n) = Sum_{k=n..A024916(n)} k * A326616(k,n) = Sum_{k=n..A024916(n)} k * A326617(k,n).

MAPLE

g:= proc(n) option remember; `if`(n=0, 0, numtheory[sigma](n)+g(n-1)) end:

b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0, add((t->

      b(n-t, min(n-t, i-1), k)*binomial(k, t))(i*j), j=0..n/i)))

    end:

a:= k-> add(n*add(b(n$2, k-i)*(-1)^i*binomial(k, i), i=0..k), n=k..g(k)):

seq(a(n), n=0..15);

CROSSREFS

Cf. A000203, A024916, A326616, A326617.

Sequence in context: A256462 A166774 A286882 * A055477 A123774 A074815

Adjacent sequences:  A326648 A326649 A326650 * A326652 A326653 A326654

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 12 2019

STATUS

approved

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Last modified October 28 13:15 EDT 2020. Contains 338055 sequences. (Running on oeis4.)