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Search: id:A048163
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| A048163 |
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Sum_{k=1..n} ((k-1)!)^2*Stirling2(n,k)^2. |
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+0
3
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| 1, 2, 14, 230, 6902, 329462, 22934774, 2193664790, 276054834902, 44222780245622, 8787513806478134, 2121181056663291350, 611373265185174628502, 207391326125004608457782, 81791647413265571604175094, 37109390748309009878392597910
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OFFSET
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1,2
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REFERENCES
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K. Vesztergombi, Permutations with restriction of middle strength, Stud. Sci. Math. Hungar., 9 (1974), 181-185.
Lovasz, L. and Vesztergombi, K.; Restricted permutations and Stirling numbers. Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. II, pp. 731-738, Colloq. Math. Soc. Janos Bolyai, 18, North-Holland, Amsterdam-New York, 1978.
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FORMULA
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(-1)^(n-1) * Sum[k=0..n-1, (-1)^k*(k+1)^(n-1)*k!*Stirling2(k, n) ]. - Ralf Stephan, Oct 27 2004
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CROSSREFS
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Main diagonal of array A099594.
Adjacent sequences: A048160 A048161 A048162 this_sequence A048164 A048165 A048166
Sequence in context: A034405 A105749 A118086 this_sequence A093548 A052215 A053846
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KEYWORD
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nonn
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AUTHOR
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njas, R. K. Guy
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