A049412 Row sums of triangle A049385.

1, 7, 85, 1465, 32677, 894103, 28977817, 1085272945, 46112305897, 2191384887175, 115164935076445, 6631403822046697, 415179375712149517, 28079663069162365207, 2040146099677929685345, 158473205735310372796897

Offset

1,2

Comments

Generalized Bell numbers B(6,1;n).

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..360

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem, Phys. Lett. A 309 (2003) 198-205.

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem, arXiv:quant-ph/0402027, 2004.

W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

Formula

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

Mathematica

terms = 16;
Rest[CoefficientList[Exp[-1+1/(1-5x)^(1/5)]-1+O[x]^(terms+1), x]] Range[ terms]! (* Jean-François Alcover, Nov 11 2018 *)

Crossrefs

Cf. A049120, generalized Bell numbers B(5, 1, n).

Sequence in context: A317353 A302565 A369372 * A346984 A361065 A056547

Adjacent sequences: A049409 A049410 A049411 * A049413 A049414 A049415

Keyword

nonn

Author

Wolfdieter Lang

Status

approved