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A145511 Dirichlet g.f.: (1-2/2^s+7/4^s)*zeta(s)^3. 10
1, 1, 3, 7, 3, 3, 3, 19, 6, 3, 3, 21, 3, 3, 9, 37, 3, 6, 3, 21, 9, 3, 3, 57, 6, 3, 10, 21, 3, 9, 3, 61, 9, 3, 9, 42, 3, 3, 9, 57, 3, 9, 3, 21, 18, 3, 3, 111, 6, 6, 9, 21, 3, 10, 9, 57, 9, 3, 3, 63, 3, 3, 18, 91, 9, 9, 3, 21, 9, 9, 3, 114, 3, 3, 18, 21, 9, 9, 3, 111, 15, 3, 3, 63, 9, 3, 9, 57, 3, 18, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Dirichlet convolution of [1,-2,0,7,0,0,0,0,..] and A007425. - R. J. Mathar, Feb 07 2011

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

J. S. Rutherford, The enumeration and symmetry-significant properties of derivative lattices, Acta Cryst. A48 (1992), 500-508. See Table 1, Symmetry Fmmm

MAPLE

read("transforms") :

nmax := 100 :

L := [1, -2, 0, 7, seq(0, i=1..nmax)] :

MOBIUSi(%) :

MOBIUSi(%) :

MOBIUSi(%) ; # R. J. Mathar, Sep 25 2017

PROG

(PARI)

up_to = 65537;

t1 = direuler(p=2, up_to, 1/(1-X)^3);

t3 = direuler(p=2, 2, 1-2*X^1+7*X^2, up_to);

v145511 = dirmul(t1, t3);

A145511(n) = v145511[n]; \\ Antti Karttunen, Sep 27 2018, after R. J. Mathar's PARI-code for A158327

CROSSREFS

Cf. A145399, A145444, A145501, A158327, A158360.

Sequence in context: A010623 A283245 A066065 * A242461 A065443 A198350

Adjacent sequences:  A145508 A145509 A145510 * A145512 A145513 A145514

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane, Mar 14 2009

STATUS

approved

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Last modified February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)