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Related to Euler numbers.
(Formerly M3486 N1417)
1

%I M3486 N1417 #24 Oct 20 2023 09:35:04

%S 4,14,56,331,1324,12284,49136,663061,2652244,49164554,196658216,

%T 4798037791,19192151164,596372040824,2385488163296,91991577140521,

%U 367966308562084,17244625801225094,68978503204900376,3861296322290987251

%N Related to Euler numbers.

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

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

%H C. Krishnamachary and M. Bheemasena Rao, <a href="/A000108/a000108_10.pdf">Determinants whose elements are Eulerian, prepared Bernoullian and other numbers</a>, J. Indian Math. Soc., 14 (1922), 55-62, 122-138 and 143-146. See p. 146. [Annotated scanned copy]

%F a(n) = b(2,n) where b(m,1) = m^2, b(m,2*n) = Sum_{k=1..m+1} b(k,2*n-1), b(m,2*n+1) = m^2 * b(m, 2*n). Note, A000364(n) = b(1, 2*n). - _Sean A. Irvine_, Sep 25 2015

%Y Cf. A000364, A259688.

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Sep 25 2015