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 A130562 Triangular table of denominators of the coefficients of Laguerre-Sonin polynomials L(1/2,n,x). 2
 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; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The corresponding numerator table is given in A131440. LINKS 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. Wolfdieter Lang, Rational coefficients and more FORMULA 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). EXAMPLE Triangle begins: [1]; [2,1]; [8,2,2]; [16,8,4,6]; [128,16,16,4,24]; [256,128,32,16,48,120]; ... PROG (Python) from sympy import binomial, factorial, Integer def a(n, m): return ((-1)**m * binomial(n + 1/Integer(2), n -m) / factorial(m)).denominator() for n in range(21): print([a(n, m) for m in range(n + 1)]) # Indranil Ghosh, Jun 29 2017 CROSSREFS Cf. A021009 (Coefficient table of n!*L(n, 0, x). Sequence in context: A046740 A317932 A253583 * A152250 A154175 A257777 Adjacent sequences:  A130559 A130560 A130561 * A130563 A130564 A130565 KEYWORD nonn,tabl,frac,easy AUTHOR Wolfdieter Lang, Jul 13 2007 STATUS approved

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Last modified April 19 20:13 EDT 2021. Contains 343117 sequences. (Running on oeis4.)