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A144369 Shifts 5 places left under Dirichlet convolution. 2
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 (list; graph; refs; listen; history; text; internal format)
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: A117660 A184198 A238998 * A033822 A144428 A029638

Adjacent sequences:  A144366 A144367 A144368 * A144370 A144371 A144372

KEYWORD

eigen,nonn

AUTHOR

Alois P. Heinz, Sep 18 2008

STATUS

approved

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Last modified May 15 22:20 EDT 2021. Contains 343934 sequences. (Running on oeis4.)