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
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, Oct 18 2015
STATUS
approved