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A144372 Shifts 8 places left under Dirichlet convolution. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 14 12:04 EDT 2021. Contains 345025 sequences. (Running on oeis4.)