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

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..500

N. J. A. Sloane, Transforms

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);

Crossrefs

9th column of A144823.

Sequence in context: A283252 A278444 A164832 * A199763 A097178 A283288

Adjacent sequences: A144819 A144820 A144821 * A144823 A144824 A144825

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 21 2008

Status

approved