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Search: id:A117886
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| A117886 |
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Expansion of q^(-2/3)eta(q)eta(q^10)^2/eta(q^5) in powers of q. |
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1
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| 1, -1, -1, 0, 0, 2, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, -2, 1, -1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 1, 1, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0
(list; graph; listen)
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OFFSET
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0,6
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FORMULA
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Expansion of f(-q)psi(q^5) 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^(5k))*(1+x^(5k))^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+A)*eta(x^10+A)^2/eta(x^5+A), n))}
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CROSSREFS
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Sequence in context: A037856 A037874 A077655 this_sequence A085977 A127325 A077618
Adjacent sequences: A117883 A117884 A117885 this_sequence A117887 A117888 A117889
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Oct 13 2006; corrected Jul 29 2007
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