OFFSET
0,2
COMMENTS
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..30
P. Barry, Eulerian Polynomials as Moments, via Exponential Riordan Arrays, J. Int. Seq. 14 (2011) # 11.9.5.
P. Barry, A Note on Three Families of Orthogonal Polynomials defined by Circular Functions, and Their Moment Sequences, Journal of Integer Sequences, Vol. 15 (2012), #12.7.2. [N. J. A. Sloane, Dec 27 2012]
FORMULA
a(n) = Product{k=0..n} (2(k+1)*floor((2k+3)/2))^(n-k). - Paul Barry, Mar 30 2010
MATHEMATICA
Table[Product[(2(k+1)Floor[(2k+3)/2])^(n-k), {k, 0, n}], {n, 0, 10}] (* Harvey P. Dale, Aug 10 2011 *)
PROG
(Magma) [(&*[(2*(k+1)*Floor((2*k+3)/2))^(n-k): k in [0..n]]): n in [0..10]]; // G. C. Greubel, Oct 14 2018
(PARI) for(n=0, 10, print1(prod(k=0, n, (2*(k+1)*floor((2*k+3)/2))^(n-k)), ", ")) \\ G. C. Greubel, Oct 14 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Philippe Deléham, Mar 07 2004
STATUS
approved