A144372 Shifts 8 places left under Dirichlet convolution.

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 2, 4, 3, 6, 4, 10, 4, 10, 6, 11, 6, 16, 8, 26, 10, 24, 12, 32, 13, 36, 18, 62, 20, 58, 24, 74, 30, 78, 38, 145, 40, 124, 52, 174, 60, 174, 76, 314, 86, 260, 104, 386, 121, 364, 158, 664, 172, 550, 212, 834, 250, 748, 316, 1410, 344, 1124

Offset

1,10

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

Maple

k:= 8: 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

8th column of A144374. Cf. A000005.

Sequence in context: A134681 A218703 A326641 * A182861 A049238 A001616

Adjacent sequences: A144369 A144370 A144371 * A144373 A144374 A144375

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 18 2008

Status

approved