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A106508 Expansion of q^(-1/3) eta(q^2)^10/(eta(q)^4 eta(q^4)^2) in powers of q. +0
1
1, 4, 4, 0, 2, 0, -8, 0, -5, -16, 4, 0, -10, 0, -8, 0, 9, 8, 0, 0, 14, 0, 16, 0, -10, 32, 4, 0, 0, 0, 8, 0, 14, -20, -20, 0, 2, 0, 0, 0, -11, -16, -20, 0, -32, 0, 16, 0, 0, -40, 4, 0, 14, 0, -8, 0, -9, 32, -20, 0, 26, 0, 0, 0, 2, 36, 28, 0, 0, 0, 16, 0, 16, 0, 28, 0, -22, 0, 0, 0, 14, 56, -16, 0, 0, 0, -40, 0, 0 (list; graph; listen)
OFFSET

0,2

LINKS

C. Adiga, N. Anitha and T. Kim, Transformations of Ramanujan's Summation Formula and its Applications, See page 5

FORMULA

Euler transform of period 4 sequence [4, -6, 4, -4, ...].

G.f. Product_{k>0} (1+x^k)^4(1-x^(2k))^4/(1+x^(2k))^2.

PROGRAM

(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x^2+A)^10/eta(x^4+A)^2/eta(x+A)^4, n))}

CROSSREFS

Sequence in context: A108068 A131124 A131125 this_sequence A158100 A104287 A138518

Adjacent sequences: A106505 A106506 A106507 this_sequence A106509 A106510 A106511

KEYWORD

sign

AUTHOR

Michael Somos, May 24 2005

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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