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 A049412 Row sums of triangle A049385. 5

%I

%S 1,7,85,1465,32677,894103,28977817,1085272945,46112305897,

%T 2191384887175,115164935076445,6631403822046697,415179375712149517,

%U 28079663069162365207,2040146099677929685345,158473205735310372796897

%N Row sums of triangle A049385.

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

%H Vincenzo Librandi, <a href="/A049412/b049412.txt">Table of n, a(n) for n = 1..360</a>

%H P. Blasiak, K. A. Penson and A. I. Solomon, <a href="https://doi.org/10.1016/S0375-9601(03)00194-4">The general boson normal ordering problem</a>, Phys. Lett. A 309 (2003) 198-205.

%H P. Blasiak, K. A. Penson and A. I. Solomon, <a href="https://arxiv.org/abs/quant-ph/0402027">The general boson normal ordering problem</a>, arXiv:quant-ph/0402027, 2004.

%H W. Lang, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL3/LANG/lang.html">On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

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

%t terms = 16;

%t Rest[CoefficientList[Exp[-1+1/(1-5x)^(1/5)]-1+O[x]^(terms+1), x]] Range[ terms]! (* _Jean-François Alcover_, Nov 11 2018 *)

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

%K nonn

%O 1,2

%A _Wolfdieter Lang_

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Last modified August 14 01:46 EDT 2020. Contains 336474 sequences. (Running on oeis4.)