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Search: id:A123858
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| A123858 |
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Expansion of q^(-1/3)eta(q^2)^2eta(q^5)/eta(q) in powers of q. |
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1
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| 1, 1, 0, 1, 0, -1, 0, 0, -1, 0, 0, -2, 0, -1, 0, 0, -1, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, -2, 0, -1, 0, -1, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0
(list; graph; listen)
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OFFSET
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0,12
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FORMULA
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Expansion of f(-q^5)*psi(q) in powers of q where f(),psi() are Ramanujan theta functions.
Euler transform of period 10 sequence [ 1, -1, 1, -1, 0, -1, 1, -1, 1, -2, ...].
G.f.: Product_{k>0} (1+x^k)*(1-x^(2k))*(1-x^(5k)).
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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)^2*eta(x^5+A)/eta(x+A), n))}
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CROSSREFS
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Sequence in context: A165408 A089812 A133988 this_sequence A035145 A107064 A113687
Adjacent sequences: A123855 A123856 A123857 this_sequence A123859 A123860 A123861
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Oct 13 2006
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