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A092785
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Sum(sum(binomial(j-n-1,m),m=0..n),j=0..n).
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2
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1, -1, 7, -21, 81, -295, 1107, -4165, 15793, -60171, 230253, -884235, 3406105, -13154947, 50922987, -197519941, 767502945, -2987013067, 11641557717, -45429853651, 177490745985, -694175171647, 2717578296117, -10648297329691, 41757352712481, -163875286898935
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Alois P. Heinz, Table of n, a(n) for n = 0..500
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FORMULA
| Differs from A072547 by -1, +1, -1, +1, -1, ... - Ralf Stephan, Apr 19 2004.
Equals sum(m=0, n, (-1)^m*binomial(n+m, m)). - Henry Gould, Apr 23, 2004
Let f(n) = (-1)^n a(n). Then 2f(n) + f(n-1) = (3n+1)C(n) + (-1)^n, where C(n) = (2n+1)!/n!(n+1)! is a Catalan number (A000108). - Henry Gould, Apr 24, 2004
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CROSSREFS
| Sequence in context: A146247 A147003 A110683 * A114902 A177369 A164544
Adjacent sequences: A092782 A092783 A092784 * A092786 A092787 A092788
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KEYWORD
| sign
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AUTHOR
| Francois Jooste (pin(AT)myway.com), Apr 23 2004
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