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Search: id:A046900
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| 1, -1, 1, 1, -3, 2, 1, 3, -10, 6, -1, 9, 10, -42, 24, -17, 21, 50, 42, -216, 120, -107, -33, 230, 294, 216, -1320, 720, -415, -1173, 670, 1974, 1944, 1320, -9360, 5040, 1231, -13515, -4510, 11130, 17064, 14520, 9360, -75600, 40320, 56671, -113739, -131230, 20202, 136296, 157080, 121680, 75600
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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Sequence gives numerators; denominators are A001813.
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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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EXAMPLE
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1; -1/2 1/2; 1/12 -3/12 2/12; ...
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MAPLE
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with(linalg): b:=proc(n, k) if k<=n then binomial(n+k, k) else 0 fi end: bb:=(n, k)->b(n-1, k-1): B:=matrix(12, 12, bb): A:=inverse(B): a:=(n, k)->((2*n-2)!/(n-1)!)*A[n, k]: for n from 0 to 10 do seq(a(n, k), k=1..n) od; # yields sequence in triangular form (Deutsch)
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CROSSREFS
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Cf. A046899.
Sequence in context: A106611 A025261 A111572 this_sequence A082727 A112603 A097294
Adjacent sequences: A046897 A046898 A046899 this_sequence A046901 A046902 A046903
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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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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 25 2005
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