A144322 Shifts left when Dirichlet convolution (DC:(b,b)->a) applied 8 times.

1, 1, 256, 65536, 16809856, 4303323136, 1101667434496, 282026863230976, 72198881268083456, 18482913606768459776, 4731625884430073102336, 1211296226414098714198016, 310091833962291289108054016

Offset

1,3

Links

Table of n, a(n) for n=1..13.

N. J. A. Sloane, Transforms

Maple

k:=8: 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

8th column of A144324.

Sequence in context: A223803 A223581 A133752 * A223266 A222101 A264347

Adjacent sequences: A144319 A144320 A144321 * A144323 A144324 A144325

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 17 2008

Status

approved