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Search: id:A141762
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| 1, 1, 3, 13, 77, 594, 5737, 67216, 931584, 14968423, 274312910, 5657512947, 129866646887, 3287152235160, 91025011377693, 2738909774003719, 89027345548731677, 3110096516555803509, 116244489639439112395
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OFFSET
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0,3
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FORMULA
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G.f.: 1/(1-x) = Sum_{n>=0} a(n) * x^n/(1+x)^[(n+1)*(n+2)/2 - 1].
a(n) = 1 - Sum_{j=0..n-1} a(j) * (-1)^(n-j) * C((j+1)(j+2)/2 + n-j-2, n-j) for n>0, with a(0)=1.
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PROGRAM
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(PARI) {a(n)=if(n==0, 1, 1 - sum(j=0, n-1, a(j)*(-1)^(n-j)*binomial((j+1)*(j+2)/2-1+n-j-1, n-j)))}
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CROSSREFS
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Cf. A141760, A141761, A141763, A141764.
Sequence in context: A032035 A127127 A043301 this_sequence A062872 A125659 A010844
Adjacent sequences: A141759 A141760 A141761 this_sequence A141763 A141764 A141765
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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), Jul 18 2008
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