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A144370 Shifts 6 places left under Dirichlet convolution. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 24 04:35 EST 2020. Contains 331183 sequences. (Running on oeis4.)