A144822 Shifts left when Dirichlet convolution with a (DC:(b,a)->c) applied 9 times.

1, 1, 10, 100, 1045, 10450, 105400, 1054000, 10549120, 105495700, 1055051050, 10550510500, 105506139100, 1055061391000, 10550623396000, 105506234900500, 1055062444351210, 10550624443512100, 105506245393982800

Offset: 1

Author

Alois P. Heinz, Sep 21 2008

Keywords

• eigen
• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..500
• N. J. A. Sloane, Transforms

Crossrefs

9th column of A144823.

Programs

Maple

with (numtheory): dc:= proc(b,c) proc(n) option remember; add (b(d) *c(n/d), d=`if`(n<0,{},divisors(n))) end end: A:= proc(n, k) local a, b, t; b[1]:= dc(a,a); for t from 2 to k do b[t]:= dc(b[t-1],a) od: a:= n-> `if`(n=1, 1, b[k](n-1)); a(n) end: a:= n-> A(n,9): seq (a(n), n=1..30);