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Search: id:A049447
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| A049447 |
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Stirling numbers of second kind: 9th column of Stirling2 triangle A008277. |
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+0
3
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| 1, 45, 1155, 22275, 359502, 5135130, 67128490, 820784250, 9528822303, 106175395755, 1144614626805, 12011282644725, 123272476465204, 1241963303533920, 12320068811796900, 120622574326072500
(list; graph; listen)
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OFFSET
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9,2
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COMMENT
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Cf. A000225, A000392, A000453, A000481, A000770, A000771, A049434.
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REFERENCES
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See A000771.
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FORMULA
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a(n)= A008277(n, 9). G.f.: x^9/product(1-k*x, k=1..9). E.g.f.: ((exp(x)-1)^9)/9!.
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MATHEMATICA
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lst={}; Do[f=StirlingS2[n, 9]; AppendTo[lst, f], {n, 9, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 27 2008]
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CROSSREFS
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Sequence in context: A010997 A163721 A140346 this_sequence A143400 A004350 A075515
Adjacent sequences: A049444 A049445 A049446 this_sequence A049448 A049449 A049450
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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