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Search: id:A093830
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| A093830 |
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Expansion of q^(-1/2)(eta(q^2)eta(q^10)/(eta(q)eta(q^5)))^2 in powers of q. |
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1
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| 1, 2, 3, 6, 9, 16, 26, 38, 58, 84, 124, 178, 249, 348, 478, 660, 896, 1202, 1610, 2132, 2822, 3706, 4827, 6270, 8093, 10420, 13346, 17008, 21608, 27332, 34490, 43350, 54286, 67806, 84404, 104828, 129810, 160274, 197440, 242584, 297429, 363802
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Euler transform of period 10 sequence [2,0,2,0,4,0,2,0,2,0,...].
G.f. A(x) satisfies 0=f(xA(x)^2,x^2A(x^2)^2) where f(u,v)=u^2-v-8uv-16uv^2.
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FORMULA
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G.f.: (Product_{k>0} (1-x^(10k-5))(1-x^(2k-1)))^-2.
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PROGRAM
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(PARI) a(n)=local(X); if(n<0, 0, X=x+x*O(x^n); polcoeff((eta(X^2)*eta(X^10)/eta(X)/eta(X^5))^2, n))
(PARI) a(n)=if(n<0, 0, polcoeff((1/prod(k=1, (n+5)\10, 1-x^(10*k-5), 1+x*O(x^n))/prod(k=1, (n+1)\2, 1-x^(2*k-1), 1+x*O(x^n)))^2, n))
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CROSSREFS
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Sequence in context: A052812 A062114 A094768 this_sequence A118033 A048810 A017915
Adjacent sequences: A093827 A093828 A093829 this_sequence A093831 A093832 A093833
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Apr 17 2004
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