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Search: id:A116418
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| A116418 |
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Expansion of a newform level 18 weight 3 and character [3]. |
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+0
1
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| 1, -2, -4, 6, 8, 4, -16, -24, 7, 8, 44, 18, -34, -12, -40, 24, -33, -16, 72, -6, 50, -8, 8, -24, -16, 32, -76, -66, -54, 48, -32, 120, 176, -14, -28, -54, 56, -16, -72, -48, -167, -88, 92, 48, 64, -36, 152, 72, 18, 68, -148, 96, -82, 24, 56, -168, -105, 80, -28, -18, -232, -48, 216, -96, 206, 66, 20, -42, 198, 32
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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W. Stein, Modular Forms Database.
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FORMULA
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Expansion of q^(-1/3)eta(q)^2*et(q^2)^3*eta(q^3)^2/eta(q^6) in powers of q.
Euler transform of period 6 sequence [ -2,-5,-4,-5,-2,-6,...].
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EXAMPLE
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q -2*q^4 -4*q^7 +6*q^10 +8*q^13 +4*q^16 -16*q^19 -24*q^22 +...
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)^2*eta(x^2+A)^3*eta(x^3+A)^2/eta(x^6+A), n))}
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CROSSREFS
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Sequence in context: A106202 A064745 A115425 this_sequence A122640 A055950 A021806
Adjacent sequences: A116415 A116416 A116417 this_sequence A116419 A116420 A116421
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Feb 13 2006
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