A144323 Shifts left when Dirichlet convolution (DC:(b,b)->a) applied 9 times.

1, 1, 512, 262144, 134348544, 68786454528, 35218798673920, 18032024921047040, 9232396828183582208, 4726987176064286720000, 2420217434180064678903808, 1239151326300193115598749696, 634445479065716907074042200064

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..100

N. J. A. Sloane, Transforms

Maple

k:=9: 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:='a': b[1]:= dc(a, a): for t from 2 to k do b[t]:= dc(b[t-1], b[t-1]) od: a:= n-> `if`(n=1, 1, b[k](n-1)): seq(a(n), n=1..20);

Crossrefs

9th column of A144324.

Sequence in context: A181244 A181252 A016749 * A320861 A347858 A220303

Adjacent sequences: A144320 A144321 A144322 * A144324 A144325 A144326

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 17 2008

Status

approved