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Search: id:A106800
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| A106800 |
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Triangle of Stirling numbers of 2nd kind, S(n,n-k), n >= 0, 0<=k<=n. |
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+0
3
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| 1, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 6, 7, 1, 0, 1, 10, 25, 15, 1, 0, 1, 15, 65, 90, 31, 1, 0, 1, 21, 140, 350, 301, 63, 1, 0, 1, 28, 266, 1050, 1701, 966, 127, 1, 0, 1, 36, 462, 2646, 6951, 7770, 3025, 255, 1, 0, 1, 45, 750, 5880, 22827, 42525, 34105, 9330
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Triangle T(n,k), 0<=k<=n, read by rows, given by [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, . . .] DELTA [ 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, . . . ] where DELTA is the operator defined in A084938 . - Philippe DELEHAM, May 19 2005
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 835.
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 223.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
Eric Weisstein's World of Mathematics, Bell Polynomial
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CROSSREFS
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See A008277 and A048993, which are the main entries for this triangle of numbers. See also A008278.
Sequence in context: A144645 A151510 A151512 this_sequence A055807 A054024 A144644
Adjacent sequences: A106797 A106798 A106799 this_sequence A106801 A106802 A106803
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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