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Search: id:A123346
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| A123346 |
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Mirror image of the Bell triangle A011971, which is also called the Pierce triangle or Aitken's array. |
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+0
2
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| 1, 2, 1, 5, 3, 2, 15, 10, 7, 5, 52, 37, 27, 20, 15, 203, 151, 114, 87, 67, 52, 877, 674, 523, 409, 322, 255, 203, 4140, 3263, 2589, 2066, 1657, 1335, 1080, 877, 21147, 17007, 13744, 11155, 9089, 7432, 6097, 5017, 4140, 115975, 94828, 77821, 64077, 52922
(list; table; graph; listen)
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OFFSET
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0,2
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REFERENCES
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D. E. Knuth, TAOCP, Vol. 4, Section 7.2.1.5.
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LINKS
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Eric Weisstein's World of Mathematics, Bell Triangle.
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FORMULA
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a(n,k) = Sum_{i=k..n} binomial(n-k,i-k)*Bell(i). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 14 2006
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EXAMPLE
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Triangle begins:
1
2 1
5 3 2
15 10 7 5
52 37 27 20 15
203 151 114 87 67 52
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CROSSREFS
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Cf. A011971. Borders give Bell numbers A000110. Diagonals give A005493, A011965, A011966, A011968, A011969, A046934, A011972, A094577, A095149, A106436, A108041, A108042, A108043.
Sequence in context: A067418 A067323 A106534 this_sequence A163840 A122833 A075303
Adjacent sequences: A123343 A123344 A123345 this_sequence A123347 A123348 A123349
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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), Oct 14 2006
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EXTENSIONS
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More terms from Alexander Adamchuk (alex(AT)kolmogorov.com) and Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 14 2006
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