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1, 5, 33, 249, 2033, 17485, 156033, 1431281, 13412193, 127840085, 1235575201, 12080678505, 119276490193, 1187542872989, 11909326179841, 120191310803937, 1219780566014657, 12440630635406245, 127446349676475425
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Series reversion of x(Sum_{k>=0} a(k)(-x^2)^k) is Sum_{k odd} C(k)x^k where C() is Catalan numbers A000108.
Series reversion of x(Sum_{k>=0} a(k)(-x)^k) is A000337(x). (Michael Somos)
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PROG
| (PARI) a(n)=if(n<0, 0, sum(i=0, n, 2^i*binomial(2*n+2, i)*binomial(n+1, i+1))/(n+1))
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CROSSREFS
| Sequence in context: A084131 A084771 A153398 * A056159 A171804 A199552
Adjacent sequences: A034012 A034013 A034014 * A034016 A034017 A034018
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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