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Search: id:A089272
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| A089272 |
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Fourth column (k=5) of array A078739(n,k) ((2,2)- generalized Stirling2) divided by 12. |
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+0
4
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| 1, 48, 1412, 34400, 766416, 16296448, 337709632, 6896540160, 139644851456, 2813500878848, 56517475402752, 1133320271749120, 22702062218039296, 454469171469877248, 9094518828981174272, 181952003020274401280
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The numerator of the g.f. is the n=2 row polynomial of the triangle A089276.
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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+8*x)/((1-2*1*x)*(1-3*2*x)*(1-4*3*x)*(1-5*4*x)).
a(n)= (3500*20^n - 3780*12^n + 945*6^n - 35*2^n)/630 = d(n) + 8*d(n-1), with d(n) := A071952(n+4)= (2500*20^n - 2268*12^n + 405*6^n - 7*2^n)/630, n>=1.
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CROSSREFS
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Cf. A071952, A089271, A089273, A071951(Legendre-Stirling triangle).
Sequence in context: A004425 A082558 A004341 this_sequence A004362 A062195 A004386
Adjacent sequences: A089269 A089270 A089271 this_sequence A089273 A089274 A089275
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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), Nov 07 2003
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