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A106204 Expansion of (chi(-q^3)^8 +16*q^2/ chi(-q^3)^8)^(1/8) in powers of q where chi() is a Ramanujan theta function. +0
1
1, 0, 2, -1, -14, 30, 140, -434, -1370, 6579, 13020, -100040, -101611, 1500338, 245954, -22069601, 14502792, 316451640, -480024439, -4385787620, 10970363300, 57983545059, -217649312794, -714104478148, 3986473537118, 7776402179076 (list; graph; listen)
OFFSET

0,3

FORMULA

Expansion of q^(1/8)* ((eta(q^3)/ eta(q^6))^8 +16*(eta(q^6)/ eta(q^3))^8)^(1/8) in powers of q.

PROGRAM

(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); A=(eta(x^3+A)/eta(x^6+A))^8; polcoeff( (A+16*x^2/A)^(1/8), n))}

CROSSREFS

Cf. A007263.

Sequence in context: A063613 A080346 A124026 this_sequence A083074 A141510 A039652

Adjacent sequences: A106201 A106202 A106203 this_sequence A106205 A106206 A106207

KEYWORD

sign

AUTHOR

Michael Somos, Apr 25 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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