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Search: id:A092785
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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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+0
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
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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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
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Sequence in context: A113859 A135576 A110683 this_sequence A114902 A100025 A121157
Adjacent sequences: A092782 A092783 A092784 this_sequence A092786 A092787 A092788
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KEYWORD
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sign
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AUTHOR
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Francois Jooste (pin(AT)myway.com), Apr 23 2004
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