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Search: id:A001803
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| A001803 |
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Numerators in expansion of (1-x)^(-3/2).
(Formerly M2986 N1207)
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+0
15
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| 1, 3, 15, 35, 315, 693, 3003, 6435, 109395, 230945, 969969, 2028117, 16900975, 35102025, 145422675, 300540195, 9917826435, 20419054425, 83945001525, 172308161025, 1412926920405, 2893136075115, 11835556670925
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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G. Pr\'{e}vost, Tables de Fonctions Sph\'{e}riques. Gauthier-Villars, Paris, 1933, pp. 156-157.
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 798.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Circle Line Picking
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FORMULA
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(2n+1)! / [n!^2 * 2^A000120(n)]. (n+1) * C(2n+2, n+1) / 2^[A000120(n)+1]. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 10 2004
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CROSSREFS
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Largest odd divisors of A001800, A002011, A002457, A005430, A033876, A086228. Bisection of A004731, A004735, A086116.
Second column of triangle A100258.
Sequence in context: A015809 A015715 A019009 this_sequence A062741 A117561 A065765
Adjacent sequences: A001800 A001801 A001802 this_sequence A001804 A001805 A001806
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KEYWORD
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nonn
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AUTHOR
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njas
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