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A049119
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Row sums of triangle A035469.
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5
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1, 5, 41, 465, 6721, 117941, 2433145, 57673281, 1543866945, 46052954821, 1514472783561, 54426342354385, 2121878761891201, 89187219264121525, 4020175011403931801, 193438800635132796161, 9895634072548245693825
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OFFSET
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1,2
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COMMENTS
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Generalized Bell numbers B(4,1;n).
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REFERENCES
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P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem, Phys. Lett. A 309 (2003) 198-205.
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LINKS
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Table of n, a(n) for n=1..17.
W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem.
P. Blasiak, K. A. Penson and A. I. Solomon, Combinatorial coherent states via normal ordering of bosons.
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FORMULA
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E.g.f.: exp(-1+1/(1-3*x)^(1/3))-1.
a(n) = D^n(exp(x)) evaluated at x = 0, where D is the operator (1+x)^4*d/dx. Cf. A000110, A000262, A049118 and A049120. - Peter Bala, Nov 25 2011
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CROSSREFS
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Cf. A049118, generalized Bell numbers B(3, 1, n). A049120.
Sequence in context: A047735 A096364 A210661 * A332236 A305981 A032188
Adjacent sequences: A049116 A049117 A049118 * A049120 A049121 A049122
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang
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STATUS
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approved
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