A144371 Shifts 7 places left under Dirichlet convolution.

1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 2, 4, 5, 6, 6, 8, 8, 6, 10, 13, 12, 18, 16, 22, 14, 26, 26, 32, 37, 40, 48, 34, 52, 66, 64, 86, 86, 108, 70, 125, 132, 144, 180, 194, 216, 158, 250, 290, 300, 386, 388, 472, 317, 540, 592, 640, 772, 836, 950, 668, 1096, 1236, 1280

Offset

1,9

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

Maple

k:= 7: 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

7th column of A144374. Cf. A000005.

Sequence in context: A319353 A319343 A300827 * A323157 A348554 A333970

Adjacent sequences: A144368 A144369 A144370 * A144372 A144373 A144374

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 18 2008

Status

approved