A278576 E.g.f. = exp(5*(exp(t)-1) + 3*(exp(t)-1)^2).

1, 5, 36, 313, 3145, 35500, 441951, 5989413, 87496610, 1367284215, 22714400561, 399122562838, 7386136082045, 143434180479665, 2913717863731996, 61746352166762613, 1361745345400563725, 31186806216360128300, 740294632899931980131, 18182298488225724570513

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Jocelyn Quaintance, Letter Representations of m x n x p Proper Arrays (2004), arXiv:math/0412244. See Theorem 5.1, but note that the e.g.f. given there is incorrect.

Jocelyn Quaintance, Word Representations of m x n x p Proper Arrays, (2004), arXiv:math/0412280; Discrete Mathematics, Volume 309, Issue 6, 6 April 2009, Pages 1199-1212. See last line of text on page 1212 of the Discrete Math. version of the paper.

Mathematica

With[{nn=20}, CoefficientList[Series[Exp[5*(Exp[x]-1)+3(Exp[x]-1)^2], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Jul 23 2024 *)

Crossrefs

Cf. A129872-A129886.

Sequence in context: A246510 A365754 A341961 * A286765 A267980 A187827

Adjacent sequences: A278573 A278574 A278575 * A278577 A278578 A278579

Keyword

nonn

Author

N. J. A. Sloane, Nov 28 2016

Status

approved