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A033434 Third differences of Catalan numbers A000108. +0
2
1, 4, 13, 43, 145, 497, 1727, 6071, 21554, 77180, 278426, 1010990, 3692213, 13553555, 49981875, 185082495, 687923790, 2565602160, 9598056630, 36008860650, 135446603370, 510706730274 (list; graph; listen)
OFFSET

0,2

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

PROGRAM

(PARI) a(n)=( 27*n^3 + 81*n^2 + 108*n + 24)*binomial(2*n, n)/(n+1)/(n+2)/(n+3)/(n+4)

CROSSREFS

Sequence in context: A072307 A121486 A003688 this_sequence A113986 A149426 A042767

Adjacent sequences: A033431 A033432 A033433 this_sequence A033435 A033436 A033437

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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