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A145501 Dirichlet g.f.: (1+1/4^s+4/16^s)*zeta(s)^3. 9
1, 3, 3, 7, 3, 9, 3, 13, 6, 9, 3, 21, 3, 9, 9, 25, 3, 18, 3, 21, 9, 9, 3, 39, 6, 9, 10, 21, 3, 27, 3, 43, 9, 9, 9, 42, 3, 9, 9, 39, 3, 27, 3, 21, 18, 9, 3, 75, 6, 18, 9, 21, 3, 30, 9, 39, 9, 9, 3, 63, 3, 9, 18, 67, 9, 27, 3, 21, 9, 27, 3, 78, 3, 9, 18, 21, 9, 27, 3, 75, 15, 9, 3, 63, 9, 9, 9, 39, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Dirichlet convolution of [1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0...] with A007425.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

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

MAPLE

nmax := 100 :

L := [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, seq(0, i=1..nmax)] :

MOBIUSi(%) :

MOBIUSi(%) :

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

PROG

(PARI)

up_to = 10000

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

t2=direuler(p=2, 2, 1+1*X^2+4*X^4, up_to);

t3=dirmul(t1, t2);

\\ Antti Karttunen, Sep 24 2017, after PARI-code in A145444.

CROSSREFS

Cf. A007425, A145444.

Sequence in context: A030316 A208884 A034257 * A182139 A092693 A134661

Adjacent sequences:  A145498 A145499 A145500 * A145502 A145503 A145504

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane, Mar 14 2009

STATUS

approved

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Last modified August 22 08:04 EDT 2019. Contains 326172 sequences. (Running on oeis4.)