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A132212 Expansion of f(-q, -q^7)/ phi(-q) in powers of q where f(), phi() are Ramanujan theta functions. +0
1
1, 1, 2, 4, 6, 10, 16, 23, 34, 50, 71, 100, 140, 192, 262, 356, 476, 634, 840, 1102, 1440, 1872, 2417, 3108, 3980, 5070, 6434, 8135, 10242, 12852, 16076, 20036, 24898, 30852, 38112, 46958, 57708, 70730, 86486, 105508, 128412, 155952, 189004, 228580 (list; graph; listen)
OFFSET

0,3

FORMULA

Euler transform of period 8 sequence [ 1, 1, 2, 1, 2, 1, 1, 0, ...].

PROGRAM

(PARI) {a(n)= if(n<0, 0, polcoeff( prod(k=1, n, 1/(1 -x^k +x*O(x^n))^[0, 1, 1, 2, 1, 2, 1, 1][k%8+1]), n))}

CROSSREFS

Sequence in context: A101176 A131882 A073150 this_sequence A137414 A098151 A132002

Adjacent sequences: A132209 A132210 A132211 this_sequence A132213 A132214 A132215

KEYWORD

nonn

AUTHOR

Michael Somos, Aug 13 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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