A144369 Shifts 5 places left under Dirichlet convolution.

1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 4, 6, 7, 6, 8, 12, 12, 18, 14, 21, 24, 32, 36, 34, 46, 56, 64, 86, 69, 104, 118, 146, 172, 156, 208, 256, 300, 368, 316, 455, 512, 636, 748, 668, 910, 1084, 1272, 1552, 1354, 1884, 2168, 2644, 3108, 2780, 3792, 4440, 5288, 6358, 5568

Offset

1,7

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

N. J. A. Sloane, Transforms

Formula

G.f.: x + x^2 + x^3 + x^4 + x^5 * (1 + Sum_{i>=1} Sum_{j>=1} a(i)*a(j)*x^(i*j)). - Ilya Gutkovskiy, May 09 2019

Maple

k:= 5: with (numtheory): dck:= proc(b, c) proc(n, k) option remember; add (b(d, k) *c(n/d, k), d=`if`(n<0, {}, divisors(n))) end end: B:= dck(T, T): T:= (n, k)-> if n<=k then 1 else B(n-k, k) fi: a:= n-> T(n, k): seq (a(n), n=1..60);

Crossrefs

5th column of A144374. Cf. A000005.

Sequence in context: A184198 A238998 A355359 * A033822 A368315 A144428

Adjacent sequences: A144366 A144367 A144368 * A144370 A144371 A144372

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 18 2008

Status

approved