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 A091804 a(n) = 2^(n*(n+1)/2)*A055209(n). 4
 1, 2, 32, 9216, 84934656, 39137889484800, 1298501242170900480000, 4221953171600428240994304000000, 1757091687362157576297527910177177600000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This sequence is the Hankel transform (see A001906 for definition) of A000629, A000670 (Fubini numbers) and A052841. 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 Cf. A000629, A000670, A001906, A052841, A055209. Sequence in context: A129349 A180127 A342099 * A012853 A128146 A185995 Adjacent sequences: A091801 A091802 A091803 * A091805 A091806 A091807 KEYWORD nonn AUTHOR Philippe Deléham, Mar 07 2004 STATUS approved

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Last modified December 11 02:45 EST 2023. Contains 367717 sequences. (Running on oeis4.)