1,2

a(n)=A126804(n)/2 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 21 2007

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 801.

H. E. Salzer, Coefficients for expressing the first thirty powers in terms of the Hermite polynomials, Math. Comp., 3 (1948), 167-169.

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].

Index entries for sequences related to Hermite polynomials

E.g.f.: x*(1 + 2x)/(1 - 4x)^(5/2).

a(n) = (2*n)!/(2*(n-1)!).

(n!/2)*binomial(2*n,n)*n or n!/2*A005430 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 06 2006

with(combinat):for n from 1 to 16 do printf(`%d, `, n!/2*sum(binomial(2*n, n), k=1..n)) od: - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2007

a:=n->sum((count(Permutation(n*2+2), size=n+1)), j=0..n)/2: seq(a(n), n=0..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 03 2007

seq(1/2*mul((n+k), k=1..n), n=0..16); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 21 2007

(Mupad) combinat::catalan(n)*binomial(n+1, 2)*n! $ n = 1..16; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2007

a(n) = A048854(n, 1) = A067147(2n, 2).

Cf. A001879.

Cf. A005430.

Sequence in context: A069685 A000515 A051609 this_sequence A013924 A145560 A166773

Adjacent sequences: A001811 A001812 A001813 this_sequence A001815 A001816 A001817

nonn

N. J. A. Sloane (njas(AT)research.att.com).

More terms and new description from Christian G. Bower (bowerc(AT)usa.net), Dec 18 2001