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A144373 Shifts 9 places left under Dirichlet convolution. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 13 11:50 EDT 2021. Contains 343839 sequences. (Running on oeis4.)