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A085791
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Triangle T(n,k) read by rows; given by [0,1,0,1,0,1,0,1,...] DELTA [1,0,1,1,1,2,1,3,1,4,1,5,...], where DELTA is the operator defined in A084938.
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1
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1, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 6, 7, 1, 0, 1, 10, 24, 16, 1, 0, 1, 15, 60, 86, 40, 1, 0, 1, 21, 125, 301, 312, 116, 1, 0, 1, 28, 231, 826, 1443, 1215, 395, 1, 0, 1, 36, 392, 1932, 4992, 7055, 5187, 1551, 1, 0, 1, 45, 624, 4032, 14274, 29629, 36242, 24280
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OFFSET
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0,9
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COMMENTS
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1; 0, 1; 0, 1, 1; 0, 1, 3, 1; 0, 1, 6, 7, 1; 0, 1, 10, 24, 16, 1; ....
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LINKS
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Table of n, a(n) for n=0..63.
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FORMULA
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Sum (k>=0, T(n; k) = A000110(n); (Bell numbers). T(n + 1; 2) = A000217(n); (Triangular numbers). T(n + 2; 3) = A014205(n)= (1/12)*(n + 5)*(n + 1)*n^2. T(n + 2; n + 1) = A029761(n).
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CROSSREFS
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Cf. A084938, A085838.
Cf. A000110 A000217 A014205 A029761.
Sequence in context: A131198 A090181 A144417 * A144645 A151510 A151512
Adjacent sequences: A085788 A085789 A085790 * A085792 A085793 A085794
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Philippe Deléham, Jul 23 2003
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STATUS
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approved
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