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A111673
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Triangle, generated from A111579.
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3
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1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 3, 1, 1, 1, 15, 11, 4, 1, 1, 1, 52, 49, 19, 5, 1, 1, 1, 203, 257, 109, 29, 6, 1, 1, 1, 877, 1539, 742, 201, 41, 7, 1, 1, 1, 4140, 10299, 5815, 1657, 331, 55, 8, 1, 1, 1, 21147, 75905, 51193, 15821, 3176, 505, 71, 9, 1, 1, 1, 115975, 609441, 498118, 170389, 35451, 5497, 729, 89, 10, 1, 1
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OFFSET
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0,8
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COMMENTS
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First few rows of the triangle are:
1,
1, 1,
1, 1, 1,
1, 2, 1, 1,
1, 5, 3, 1, 1,
1, 15, 11, 4, 1, 1,
1, 52, 49, 19, 5, 1, 1,
1, 203, 257, 109, 29, 6, 1, 1,
1, 877, 1539, 742, 201, 41, 7, 1, 1,
1, 4140, 10299, 5815, 1657, 331, 55, 8, 1, 1,
...
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REFERENCES
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A. Kerber, A matrix of combinatorial numbers related to the symmetric groups, Discrete Mathematics, 21(1978), 319-321.
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LINKS
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Table of n, a(n) for n=0..77.
A. Kerber, A matrix of combinatorial numbers related to the symmetric groups<, Discrete Math., 21 (1978), 319-321. [Annotated scanned copy]
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FORMULA
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Columns are inverse binomial transforms of columns (k>0) of A111579.
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EXAMPLE
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Inverse binomial transform of column 2 of A111579 (1, 2, 5, 15, 52, 203...) = column of terms (1, 1, 2, 5, 15, 52...) of A111673.
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CROSSREFS
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Cf. A111579, A008277.
For two other versions of this triangle see A241578, A241579.
Rows and columns give A000110, A004211, A004212, A004231, A005011, A005012, A028387, A241577.
Sequence in context: A064094 A090182 A256384 * A121391 A347615 A241194
Adjacent sequences: A111670 A111671 A111672 * A111674 A111675 A111676
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson, Aug 14 2005
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EXTENSIONS
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More terms from N. J. A. Sloane, Apr 29 2014
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STATUS
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approved
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