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Search: id:A102573
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| A102573 |
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Triangle of coefficients of polynomials in Sum[binomial[n,k]k^r,{k,0,n}]. |
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+0
1
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| 1, 1, 3, 1, 5, -2, 1, 10, 15, -10, 1, 14, 31, -46, 16, 1, 21, 105, 35, -210, 112, 1, 27, 183, 97, -832, 860, -272, 1, 36, 378, 1008, -1575, -2436, 5292, -2448, 1, 44, 586, 2144, -3719, -10876, 31036, -26896, 7936, 1, 55, 990, 6270, 3465, -51513, 27720, 135300, -208560
(list; table; graph; listen)
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OFFSET
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2,3
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LINKS
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Eric Weisstein's World of Mathematics, Binomial Sums
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EXAMPLE
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1; 1, 3; 1, 5, -2; 1, 10, 15, -10; 1, 14, 31, -46, 16; ...
E.g. Sum[binomial[n,k]k^4,{k,0,n}] = 2^(-4 + n)*n*(1 + n)*(-2 + 5*n + n^2)
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CROSSREFS
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Adjacent sequences: A102570 A102571 A102572 this_sequence A102574 A102575 A102576
Sequence in context: A100898 A101350 A134867 this_sequence A134033 A095026 A094367
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KEYWORD
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sign,tabl
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Jan 15, 2005
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