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A006710
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Expansion of eta(q^10)^12/(eta(q^2)^4*eta(q^5)^8) in powers of q.
(Formerly M3190)
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0
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1, 0, 4, 0, 14, 8, 40, 32, 105, 112, 284, 320, 702, 840, 1688, 2112, 3860, 4976, 8540, 11264, 18424, 24480, 38584, 51520, 78901, 105648, 157600, 211136, 308310, 412872, 592224, 791040, 1117441, 1488160, 2074924, 2754048, 3794660, 5018408
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,3
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REFERENCES
| M. Newman, Construction and application of a class of modular functions. II, Proc. London Math. Soc. (3) 9 1959 373-387. MR0107629 (21 #6354)
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| Euler transform of period 10 sequence [0, 4, 0, 4, 8, 4, 0, 4, 0, 0, ...]. - Michael Somos Nov 10 2005
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EXAMPLE
| q^3 +4*q^5 +14*q^7 +8*q^8 +40*q^9 +32*q^10 +105*q^11 +112*q^12 +...
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PROG
| (PARI) {a(n)=local(A); if(n<3, 0, n-=3; A=x*O(x^n); polcoeff( eta(x^10+A)^12/eta(x^2+A)^4/eta(x^5+A)^8, n))} /* Michael Somos Nov 10 2005 */
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CROSSREFS
| Sequence in context: A137523 A117786 A117788 * A081162 A095367 A059065
Adjacent sequences: A006707 A006708 A006709 * A006711 A006712 A006713
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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