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A033434
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Third differences of Catalan numbers A000108.
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1
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1, 4, 13, 43, 145, 497, 1727, 6071, 21554, 77180, 278426, 1010990, 3692213, 13553555, 49981875, 185082495, 687923790, 2565602160, 9598056630, 36008860650, 135446603370, 510706730274
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=( 27*n^3 + 81*n^2 + 108*n + 24)*binomial(2*n, n)/(n+1)/(n+2)/(n+3)/(n+4) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 11 2004
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PROG
| (PARI) a(n)=( 27*n^3 + 81*n^2 + 108*n + 24)*binomial(2*n, n)/(n+1)/(n+2)/(n+3)/(n+4)
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CROSSREFS
| Sequence in context: A121486 A188176 A003688 * A113986 A149426 A042767
Adjacent sequences: A033431 A033432 A033433 * A033435 A033436 A033437
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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