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A082578
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A binomial sum.
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2
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1, 7, 67, 767, 9587, 126011, 1711595, 23796515, 336666215, 4828084575, 69994481871, 1023793569567, 15086216016367, 223704570996367, 3335098322412367, 49954148031128767, 751296616443141667
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| Formula: a(n) = Sum[ Binomial[ 2 k, k ] Binomial[ 2 k + 1, k ], { k, 0, n } ] Recurrence: ( n + 3 ) ( n + 2 ) a(n+2) - ( 17 n^2 + 69 n + 66 ) a(n+1) + ( 16 n^2 + 64 n + 60 ) a(n) = 0
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PROG
| (Maxima) makelist(sum(binomial(2*k, k)*binomial(2*k+1, k), k, 0, n), n, 0, 12);
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CROSSREFS
| Partial sums of A000894.
Sequence in context: A020469 A199756 A038386 * A082698 A093170 A120079
Adjacent sequences: A082575 A082576 A082577 * A082579 A082580 A082581
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KEYWORD
| easy,nonn
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AUTHOR
| Emanuele Munarini (munarini(AT)mate.polimi.it), May 07 2003
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