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A352839
Expansion of g.f. 1/(1 - Sum_{k>=1} sigma_k(k) * x^k).
1
1, 1, 6, 39, 370, 4132, 59288, 990705, 19577018, 439550259, 11142216938, 313147651821, 9680830606850, 325944181383936, 11875777329091878, 465292113335910106, 19507503314546762246, 871248546067010133794, 41295079536653463057146
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OFFSET
0,3
LINKS
Table of n, a(n) for n=0..18.
FORMULA
a(0) = 1; a(n) = Sum_{k=1..n} sigma_k(k) * a(n-k).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(1/(1-sum(k=1, N, sigma(k, k)*x^k)))
(PARI) a(n) = if(n==0, 1, sum(k=1, n, sigma(k, k)*a(n-k)));
CROSSREFS
Cf.
A129921
,
A180305
,
A320649
.
Cf.
A023887
,
A352841
,
A352842
.
Sequence in context:
A356439
A308861
A124577
*
A006678
A252761
A145709
Adjacent sequences:
A352836
A352837
A352838
*
A352840
A352841
A352842
KEYWORD
nonn
AUTHOR
Seiichi Manyama
, Apr 05 2022
STATUS
approved