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Search: id:A087806
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| A087806 |
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Inverse binomial transform of squares of Catalan numbers. |
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+0
2
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| 1, 0, 3, 15, 117, 998, 9335, 93054, 974085, 10596336, 118903599, 1368808785, 16099107057, 192831403950, 2346213458667, 28938983482353, 361243476790605
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: hypergeom([1/2, 1/2, 1], [2, 2], 16*x/(1+x))/(1+x). E.g.f.: exp(-x)*hypergeom([1/2, 1/2], [2, 2], 16*x).
(n+1)^2*a(n)-(13*n-4)*(n-1)*a(n-1)-(n-1)*(29*n-31)*a(n-2)-15*(n-1)*(n-2)*a(n-3) = 0. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 20 2004
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CROSSREFS
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Cf. A007317, A001246, A005043.
Cf. A087804.
Sequence in context: A166885 A082163 A074596 this_sequence A080290 A136654 A145161
Adjacent sequences: A087803 A087804 A087805 this_sequence A087807 A087808 A087809
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 12 2003
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