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A102221
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Column 0 of triangular matrix A102220, which equals [2*I - A008459]^(-1).
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2
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1, 1, 5, 55, 1077, 32951, 1451723, 87054773, 6818444405, 675900963271, 82717196780955, 12248810651651333, 2158585005685222491, 446445657799551807541, 107087164031952038620481
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = Sum_{k=0..n-1} C(n, k)^2*a(k) for n>0, with a(0)=1. a(n) = A102220(n+k, k)/C(n+k, k)^2 for k>=0.
Sum_{n>=0} a(n)*x^n/n!^2 = 1/(2-BesselI(0,2*sqrt(x))). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 17 2006
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PROG
| (PARI) a(n)=if(n==0, 1, sum(k=0, n-1, binomial(n, k)^2*a(k)))
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CROSSREFS
| Cf. A008459, A102220, A102222.
Cf. A000275.
Sequence in context: A177557 A158690 A192723 * A056600 A177819 A126456
Adjacent sequences: A102218 A102219 A102220 * A102222 A102223 A102224
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 31 2004
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