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Search: id:A113423
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| A113423 |
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Expansion of q^(-1)eta(q^2)*eta(q^8)^2*eta(q^10)/eta(q^4) in powers of q^2. |
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+0
1
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| 1, -1, 0, -1, -1, 0, 2, 1, 0, 2, -2, 1, -1, 2, -2, -2, -2, -1, 0, 2, 2, -3, 0, 1, 1, 2, 2, 0, 2, -2, 0, 1, 0, -3, 2, -2, 0, 1, -2, -4, -1, 1, 2, -4, 0, 2, 0, 0, 0, 0, 2, 3, 0, 3, 0, 2, -2, -1, -2, 2, -1, 0, 0, 7, 2, 0, -6, -2, -2, -2, -2, -2, 0, -3, 0, 2, 0, 0, 4, -2, -2, 5, -2, -1, 1, -2, 0, 1, 2, 2, -2, 0, 2, 2, 4, -2, 4, 0, 2, 0, -2, 2, 0, -3, 0
(list; graph; listen)
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OFFSET
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0,7
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REFERENCES
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K. Ono, Ramanujan, taxicabs, birthdates, ZIP codes and twists, Amer. Math. Monthly 104 (1997), no. 10, 912-917, MR1490909 (98i:11020)
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FORMULA
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Euler transform of period 20 sequence [ -1, 0, -1, -2, -2, 0, -1, -2, -1, -1, -1, -2, -1, 0, -2, -2, -1, 0, -1, -3, ...].
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EXAMPLE
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q -q^3 -q^7 -q^9 +2*q^13 +q^15 +2*q^19 -2*q^21 +q^23 +...
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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^4+A)^2*eta(x^5+A)/eta(x^2+A), n))}
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CROSSREFS
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Sequence in context: A035393 A068913 A128306 this_sequence A131258 A029366 A112848
Adjacent sequences: A113420 A113421 A113422 this_sequence A113424 A113425 A113426
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Oct 31 2005
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