The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A107249

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A107249

A number triangle with repeated columns of binomial coefficients.
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:59:07 EDT 2012

AUTHOR

_Paul Barry (pbarry(AT)wit.ie), _, May 14 2005

Discussion

Fri Mar 30

18:59

OEIS Server: https://oeis.org/edit/global/287

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

FORMULA

Number triangle T(n, k)=C(floor((2n-k-2)/2), floor((n-k)/2))

KEYWORD

easy,nonn,tabl,new

#1 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005

NAME

A number triangle with repeated columns of binomial coefficients.

DATA

1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 1, 6, 3, 3, 2, 1, 1, 10, 6, 6, 3, 3, 1, 1, 20, 10, 10, 6, 4, 3, 1, 1, 35, 20, 20, 10, 10, 4, 4, 1, 1, 70, 35, 35, 20, 15, 10, 5, 4, 1, 1, 126, 70, 70, 35, 35, 15, 15, 5, 5, 1, 1, 252, 126, 126, 70, 56, 35, 21, 15, 6, 5, 1, 1, 462, 252, 252, 126, 126

OFFSET

0,7

COMMENTS

Reversal of A096921. Row sums are A026010. Diagonal sums are 107250.

FORMULA

Number triangle T(n,k)=C(floor((2n-k-2)/2),floor((n-k)/2))

EXAMPLE

Triangle begins

1;

1,1;

1,1,1;

2,1,1,1;

3,2,2,1,1;

6,3,3,2,1,1;

10,6,6,3,3,1,1;

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 14 2005

STATUS

approved