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Search: id:A089518
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| A089518 |
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Third column (k=5) of array A078741 ((3,3)-Stirling2) divided by 9. |
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+0
4
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| 1, 138, 10476, 683208, 42315696, 2570768928, 155010407616, 9318969502848, 559578466388736, 33585275183251968, 2015370124337581056, 120928294183739148288, 7255843732407562776576, 435354129897768445943808
(list; graph; listen)
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OFFSET
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0,2
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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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P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem.
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FORMULA
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G.f.: (1+48*x)/((1-3*2*1*x)*(1-4*3*2*x)*(1-5*4*3*x)).
a(n)= (10*(5*4*3)^n - 8*(4*3*2)^n + (3*2*1)^n)/3 = b(n) + 48*b(n-1), with b(n) := A089513(n).
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CROSSREFS
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Cf. A089513 (third column of A089504), A089519, A090219.
Sequence in context: A008888 A045045 A108156 this_sequence A005447 A047652 A020357
Adjacent sequences: A089515 A089516 A089517 this_sequence A089519 A089520 A089521
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Dec 01 2003
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