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Search: id:A131440
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| A131440 |
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Triangular table of numerators of the coefficients of Laguerre-Sonin polynomials L(1/2,n,x). |
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+0
2
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| 1, 3, -1, 15, -5, 1, 35, -35, 7, -1, 315, -105, 63, -3, 1, 693, -1155, 231, -33, 11, -1, 3003, -3003, 3003, -143, 143, -13, 1, 6435, -15015, 9009, -2145, 715, -13, 1, -1, 109395, -36465, 51051, -7293, 12155, -221, 17, -17, 1, 230945, -692835, 138567, -46189, 46189, -4199, 323, -323, 19, -1, 969969
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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The corresponding denominator table is given in A130562.
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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].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, December 1972, p. 775, 22.3.9.
W. Lang, Rational coefficients and more.
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FORMULA
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a(n,m)=numer(L(1/2,n,m)) with L(1/2,n,m)=((-1)^m)*binomial(n+1/2,n-m)/m!, n>=m>=0, else 0 (taken in lowest terms).
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EXAMPLE
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[1]; [3,-1]; [15,-5,1];[35,-35,7,-1]; [315,-105,63,-3,1]; [693,-1155,231,-33,11,-1]; ...
Rationals: [1]; [3/2, -1]; [15/8, -5/2, 1/2]; [35/16, -35/8, 7/4, -1/6];...
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CROSSREFS
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Sequence in context: A134146 A085569 A072479 this_sequence A119301 A121335 A126454
Adjacent sequences: A131437 A131438 A131439 this_sequence A131441 A131442 A131443
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KEYWORD
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sign,easy,frac,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Aug 07 2007.
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