A144370 Shifts 6 places left under Dirichlet convolution.

1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 2, 6, 5, 8, 4, 12, 4, 14, 12, 21, 8, 30, 8, 36, 26, 46, 16, 74, 17, 76, 56, 106, 32, 166, 34, 172, 116, 220, 66, 369, 68, 352, 236, 478, 132, 776, 136, 750, 486, 972, 264, 1640, 273, 1522, 980, 2020, 528, 3360, 550, 3152, 1968, 4072

Offset

1,8

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

Maple

k:= 6: 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..70);

Crossrefs

6th column of A144374. Cf. A000005.

Sequence in context: A293442 A318470 A175501 * A239514 A304464 A087050

Adjacent sequences: A144367 A144368 A144369 * A144371 A144372 A144373

Keyword

eigen,nonn

Author

Alois P. Heinz, Sep 18 2008

Status

approved