A111673 - OEIS

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A111673

Triangle, generated from A111579.

2

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

0,8

COMMENTS

Columns are inverse binomial transforms of columns (k>0) of A111579.

LINKS

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.

A. Kerber, A matrix of combinatorial numbers related to the symmetric groups, Discrete Math., 21 (1978), 319-321. [Annotated scanned copy]

EXAMPLE

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,

...

Inverse binomial transform of column 2 of A111579 (1, 2, 5, 15, 52, 203...) = column 2 (1, 1, 2, 5, 15, 52...).

CROSSREFS

Cf. A111579, A008277.

For two other versions of this triangle see A241578, A241579.

Rows and columns give A000110, A004211, A004212, A004213, A005011, A005012, A028387, A241577.

Sequence in context: A064094 A090182 A256384 * A121391 A375555 A347615

Adjacent sequences: A111670 A111671 A111672 * A111674 A111675 A111676

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Aug 14 2005

EXTENSIONS

More terms from N. J. A. Sloane, Apr 29 2014

STATUS

approved