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Search: id:A123884
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| A123884 |
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Expansion of phi(q)phi(q^6)/chi(-q^2) in powers of q where phi(),chi() are Ramanujan theta functions. |
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5
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| 1, 2, 1, 2, 3, 2, 2, 0, 2, 2, 1, 4, 0, 2, 3, 2, 2, 0, 4, 2, 2, 0, 0, 2, 1, 4, 2, 2, 2, 2, 3, 2, 0, 2, 2, 2, 2, 0, 2, 4, 4, 0, 0, 0, 1, 2, 4, 0, 2, 4, 2, 2, 1, 6, 0, 2, 2, 0, 0, 2, 4, 2, 0, 2, 2, 0, 4, 0, 4, 2, 1, 2, 0, 2, 4, 0, 0, 2, 2, 4, 3, 4, 0, 2, 2, 2, 2, 0, 4, 2, 0, 2, 0, 2, 2, 4, 2, 0, 0, 0, 2, 2, 3, 2, 2
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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Expansion of q^(-1/12)*eta(q^2)^4*eta(q^6)^2/(eta(q)^2*eta(q^4)*eta(q^12)) in powers of q.
Euler transform of period 12 sequence [ 2, -2, 2, -1, 2, -4, 2, -1, 2, -2, 2, -2, ...].
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x^2+A)^4*eta(x^6+A)^2/ eta(x+A)^2/ eta(x^4+A)/ eta(x^12+A), n))}
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CROSSREFS
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Cf. A093829(12n+1)=a(n).
Adjacent sequences: A123881 A123882 A123883 this_sequence A123885 A123886 A123887
Sequence in context: A128979 A115116 A088062 this_sequence A067694 A037195 A131810
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Oct 17 2006
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