A144373 Shifts 9 places left under Dirichlet convolution.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 4, 8, 6, 6, 10, 7, 8, 10, 8, 12, 18, 16, 12, 28, 15, 22, 22, 22, 24, 48, 32, 30, 60, 38, 46, 57, 44, 56, 102, 76, 60, 142, 76, 108, 124, 100, 112, 234, 153, 136, 292, 174, 216, 276, 204, 246, 476, 330, 272, 642, 348, 464

Offset

1,11

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 + x^6 + x^7 + x^8 + x^9 * (1 + Sum_{i>=1} Sum_{j>=1} a(i)*a(j)*x^(i*j)). - Ilya Gutkovskiy, May 09 2019

Maple

k:= 9: 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..80);

Crossrefs

9th column of A144374. Cf. A000005.

Sequence in context: A114102 A193513 A218704 * A086292 A335708 A076640

Adjacent sequences: A144370 A144371 A144372 * A144374 A144375 A144376

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 18 2008

Status

approved