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A086211
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Triangle related to Bell numbers; T(n,k) read by rows, n>=0, 0<=k<=n: T(n,k) = k*T(n-1,k) + Sum(0<=j, T(n-1,k-1+j)); T(0,0)=1, T(0,k)=0 if k>0.
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2
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1, 1, 1, 2, 3, 1, 6, 9, 6, 1, 22, 31, 28, 10, 1, 92, 123, 126, 69, 15, 1, 426, 549, 586, 418, 145, 21, 1, 2146, 2695, 2892, 2425, 1165, 272, 28, 1, 11624, 14319, 15262, 14058, 8551, 2826, 469, 36, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Sum(0<=k<=n, A000110(k)*T(n-k,0))=A000110(n+1).
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FORMULA
| Sum_{ k = 0, . . ., n} T(n, k) = A074664(n+2). - Philippe DELEHAM, May 10 2005
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EXAMPLE
| Triangle begins:
1;
1, 1;
2, 3, 1;
6, 9, 6, 1;
22, 31, 28, 10, 1;
92, 123, 126, 69, 15, 1;
426, 549, 586, 418, 145, 21, 1;
2146, 2695, 2892, 2425, 1165, 272, 28, 1;
11624, 14319, 15262, 14058, 8551, 2826, 469, 36, 1 ;...
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CROSSREFS
| Cf. A000110.
Sequence in context: A054115 A100822 A198427 * A110189 A187914 A132372
Adjacent sequences: A086208 A086209 A086210 * A086212 A086213 A086214
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KEYWORD
| nonn,tabl
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AUTHOR
| DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Aug 27 2003, Jun 16 2007
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