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Search: id:A107882
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| 1, 2, 5, 19, 104, 766, 7197, 82910, 1136923, 18141867, 330940109, 6803936050, 155839142185, 3938383850350, 108934529005948, 3275059508166297, 106388204134734785, 3714826559490125850, 138796913898027894261
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OFFSET
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0,2
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FORMULA
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G.f.: 1 = Sum_{k>=0} a(k)*x^k*(1-x)^(2 + k*(k+1)/2).
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EXAMPLE
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1 = 1*(1-x)^2 + 2*x*(1-x)^3 + 5*x^2*(1-x)^5 +
19*x^3*(1-x)^8 + 104*x^4*(1-x)^12 + 766*x^5*(1-x)^17 +...
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PROGRAM
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(PARI) {a(n)=polcoeff(1-sum(k=0, n-1, a(k)*x^k*(1-x+x*O(x^n))^(2+k*(k+1)/2)), n)}
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CROSSREFS
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Cf. A107880, A107881, A107883.
Sequence in context: A076669 A093502 A009311 this_sequence A089126 A113346 A054926
Adjacent sequences: A107879 A107880 A107881 this_sequence A107883 A107884 A107885
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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), Jun 04 2005
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