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A079508 Triangle T(n,k) (n>=2, k>=1) of Raney numbers read by rows. +0
2
1, 0, 1, 0, 1, 1, 0, 0, 5, 1, 0, 0, 5, 9, 1, 0, 0, 0, 21, 14, 1, 0, 0, 0, 14, 56, 20, 1, 0, 0, 0, 0, 84, 120 (list; table; graph; listen)
OFFSET

2,9

COMMENT

There are only m nonzero entries in the m-th column.

REFERENCES

G. Kreweras, Les preordres totaux compatibles avec un ordre partiel. Math. Sci. Humaines No. 53 (1976), 5-30.

G. N. Raney, Functional composition patterns and power series reversion, Trans. Amer. Math. Soc., 94 (1960), pp. 441-.

FORMULA

How are these defined?

EXAMPLE

1; 0,1; 0,1,1; 0,0,5,1; 0,0,5,9,1; ...

CROSSREFS

Sum of nonzero entries in each column gives A001003. Alternating sum of each column is 1. Leading Second diagonal gives A079509.

Sequence in context: A129205 A098173 A058177 this_sequence A007912 A019755 A085475

Adjacent sequences: A079505 A079506 A079507 this_sequence A079509 A079510 A079511

KEYWORD

nonn,tabl,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 21 2003

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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