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A034949
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Expansion of eta(8z)*eta(16z)*theta_3(z).
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1, 2, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, -6, 0, 0, -4, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 1, 10, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| Ono and Skinner, Ann. Math., 147 (1998), 453-470.
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FORMULA
| Expansion of eta(q^2)^5 * eta(q^8) * eta(q^16) / (eta(q)^2 * eta(q^4)^2) in powers of q. - Michael Somos, Nov 03 2011
Euler transform of period 16 sequence [ 2, -3, 2, -1, 2, -3, 2, -2, 2, -3, 2, -1, 2, -3, 2, -3, ...]. - Michael Somos, Nov 03 2011
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EXAMPLE
| x + 2*x^2 + 2*x^5 - x^9 - 2*x^13 - 6*x^18 - 4*x^21 - x^25 + 2*x^29 + ...
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PROG
| (PARI) {a(n) = local(A); if( n<1, 0, n--; A = x * O(x^n); polcoeff( eta(x^2 + A)^5 * eta(x^8 + A) * eta(x^16 + A) / (eta(x + A)^2 * eta(x^4 + A)^2), n))} /* Michael Somos, Nov 03 2011 */
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CROSSREFS
| Sequence in context: A079205 A107497 A000095 * A112301 A134013 A136521
Adjacent sequences: A034946 A034947 A034948 * A034950 A034951 A034952
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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