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Search: id:A007682
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| A007682 |
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a(n) = - Sum (n+k)!a(k)/(2k)!, k = 0..n-1.
(Formerly M5044)
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+0
1
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| 1, -1, 1, 1, -1, -17, -107, -415, 1231, 56671, 924365, 11322001, 97495687, -78466897, -31987213451, -1073614991039, -26754505127713, -558657850929473, -9259584394031075, -70982644052430799, 3334438016903221111, 240585292388924690959, 10679411902033402697861
(list; graph; listen)
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OFFSET
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0,6
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REFERENCES
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H. W. Gould, A class of binomial sums and a series transformation, Utilitas Math., 45 (1994), 71-83.
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MAPLE
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A007682 := proc(n) option remember; if n=0 then RETURN(1) fi; if n>0 then RETURN((-1)*add((n+k)!*'A007682(k)'/(2*k)!, k=0..n-1 )) fi; end;
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CROSSREFS
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Sequence in context: A095785 A121823 A142321 this_sequence A125327 A126485 A080441
Adjacent sequences: A007679 A007680 A007681 this_sequence A007683 A007684 A007685
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KEYWORD
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sign,easy,nice
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AUTHOR
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njas
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