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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, 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, 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).
Sequence in context: A118961 A114706 A046740 this_sequence A152250 A154175 A011208
Adjacent sequences: A130559 A130560 A130561 this_sequence A130563 A130564 A130565
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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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