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Search: id:A059340
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| A059340 |
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Triangle T(n,k) of numbers with e.g.f. exp((exp((1+x)*y)-1)/(1+x)),k=0..n-1. |
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+0
4
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| 1, 2, 1, 5, 5, 1, 15, 23, 10, 1, 52, 109, 76, 19, 1, 203, 544, 531, 224, 36, 1, 877, 2876, 3641, 2204, 631, 69, 1, 4140, 16113, 25208, 20089, 8471, 1749, 134, 1, 21147, 95495, 178564, 177631, 100171, 31331, 4838, 263, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Essentially triangle given by [1,1,1,2,1,3,1,4,1,5,1,6,...] DELTA [0,1,0,2,0,3,0,4,0,5,0,6,...] = [1;1,0;2,1,0;5,5,1,0;15,23,10,1,0;...] where DELTA is the operator defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 20 2006
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FORMULA
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T(n, k)=Sum_{i=0..n} stirling2(n, n-i)*binomial(i, k), k=0..n-1.
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EXAMPLE
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[1], [2, 1], [5, 5, 1], [15, 23, 10, 1], [52, 109, 76, 19, 1], ...
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CROSSREFS
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Row sums = A004211, T(n, 0) = A000110.
Sequence in context: A126216 A124733 A137597 this_sequence A046757 A118244 A108410
Adjacent sequences: A059337 A059338 A059339 this_sequence A059341 A059342 A059343
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 27 2001
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