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Search: id:A130562
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| A130562 |
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Triangular table of denominators of the coefficients of Laguerre-Sonin polynomials L(1/2,n,x). |
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2
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| 1, 2, 1, 8, 2, 2, 16, 8, 4, 6, 128, 16, 16, 4, 24, 256, 128, 32, 16, 48, 120, 1024, 256, 256, 32, 192, 240, 720, 2048, 1024, 512, 256, 384, 64, 96, 5040, 32768, 2048, 2048, 512, 3072, 384, 384, 10080, 40320, 65536, 32768, 4096, 2048, 6144, 3072, 2304, 40320
(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 numerator table is given in A131440.
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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)=denom(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]; [2,1]; [8,2,2]; [16,8,4,6]; [128,16,16,4,24]; [256,128,32,16,48,120]; ...
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CROSSREFS
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Cf. A021009 (Coefficient table of n!*L(n, 0, x).
Adjacent sequences: A130559 A130560 A130561 this_sequence A130563 A130564 A130565
Sequence in context: A118961 A114706 A046740 this_sequence A011208 A001281 A065826
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jul 13 2007
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