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Search: id:A135828
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| A135828 |
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Expansion of psi(q^2)^8 * (psi(q)^8 + psi(-q)^8) / 2 in powers of q^2 where psi() is a Ramanujan theta function. |
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+0
2
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| 1, 36, 378, 2200, 8955, 28836, 78558, 188568, 410805, 828080, 1564686, 2804976, 4809370, 7927380, 12643560, 19594632, 29568204, 43626708, 63094550, 89501040, 124916931, 171803652, 232822908, 311683680, 412601490, 539849556, 699657642
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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Expansion of q^(-3) * ( eta(q^2)^24 + eta(q)^16 * eta(q^4)^8 ) / ( 2 * eta(q)^8 * eta(q^2)^16 / eta(q^4)^16 ) in powers of q^2.
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EXAMPLE
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q^3 + 36*q^5 + 378*q^7 + 2200*q^9 + 8955*q^11 + 28836*q^13 + 78558*q^15 + ...
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PROGRAM
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(PARI) {a(n) = local(A); if( n<0, 0, n *= 2; A = x * O(x^n); polcoeff( ( eta(x^2 + A)^24 + eta(x + A)^16 * eta(x^4 + A)^8 ) / ( 2 * eta(x + A)^8 * eta(x^2 + A)^16 / eta(x^4 + A)^16 ), n))}
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CROSSREFS
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A008774(2*n+3) = 7680 * a(n). Convolution of A007331 and A045823.
Sequence in context: A053136 A000821 A071232 this_sequence A034686 A095682 A083811
Adjacent sequences: A135825 A135826 A135827 this_sequence A135829 A135830 A135831
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Nov 29 2007
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