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 A002514 Coefficients in the asymptotic expansions of modified Hankel functions h_1(z) and h_2(z), rounded to nearest integer. (Formerly M2992 N1212) 2
 0, 0, 0, 0, 1, 3, 15, 79, 474, 3207, 24087, 198923, 1791902, 17484377, 183707380, 2067904033, 24827519376, 316694549817, 4277112686513, 60971132411393, 914869422343564, 14413525170009350, 237888443951757586, 4104608160094692304 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). The Staff of the Computational Laboratory, Tables of the Modified Hankel Functions of Order One-Third and of Their Derivatives. Annals of the Computation Laboratory of Harvard University, Vol. 2, Harvard Univ. Press, Cambridge, Massachusetts, 1945. see p. XXXV. LINKS Robert Israel, Table of n, a(n) for n = 1..459 The Staff of the Computational Laboratory, Tables of the Modified Hankel Functions of Order One-Third and of Their Derivatives. [Annotated scans of two pages] FORMULA a(n) = round((Product_{k=1..n} (9 * (2*k-1)^2 - 4)) / (2^(4*n) * 3^n * n!)). - Sean A. Irvine, Oct 18 2015 a(n) = round(Gamma(n+5/6)*Gamma(n+1/6)*3^n/(2^(2*n+1)*Pi*n!)). - Robert Israel, Oct 19 2015 MAPLE seq(round(simplify(GAMMA(n+5/6)*GAMMA(n+1/6)*3^n/(2^(2*n+1)*Pi*n!))), n=1..50); # Robert Israel, Oct 19 2015 CROSSREFS Sequence in context: A292097 A052755 A137957 * A319216 A093889 A020044 Adjacent sequences:  A002511 A002512 A002513 * A002515 A002516 A002517 KEYWORD nonn AUTHOR EXTENSIONS More terms from Sean A. Irvine, Oct 18 2015 STATUS approved

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Last modified April 1 05:04 EDT 2020. Contains 333155 sequences. (Running on oeis4.)