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Search: id:A135922
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| A135922 |
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Inverse binomial transform of A006116, which is the sum of Gaussian binomial coefficients [n,k] for q=2. |
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+0
2
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| 1, 1, 2, 6, 26, 158, 1330, 15414, 245578, 5382862, 162700898, 6801417318, 394502066810, 31849226170622, 3589334331706258, 566102993389615254, 125225331231990004138, 38920655753545108286254
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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O.g.f.: A(x) = Sum_{n>=0} x^n / Product_{k=0..n} (1 - (2^k-1)*x).
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EXAMPLE
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O.g.f.: A(x) = 1 + x/(1-x) + x^2/((1-x)*(1-3x)) + x^3/((1-x)*(1-3x)*(1-7x)) + x^4/((1-x)*(1-3x)*(1-7x)*(1-15x)) + ...
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PROGRAM
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(PARI) a(n)=polcoeff(sum(k=0, n, x^k/prod(j=0, k, 1-(2^j-1)*x+x*O(x^n))), n)
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CROSSREFS
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Cf. A006116.
Sequence in context: A099758 A099760 A112934 this_sequence A103367 A047863 A141713
Adjacent sequences: A135919 A135920 A135921 this_sequence A135923 A135924 A135925
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 06 2007
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