The On-Line Encyclopedia of Integer Sequences (OEIS)

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A113083

Diagonal of square table A113081; also, a(n) equals the n-th term in column 0 of the matrix (n+1)-th power of triangle A113084.
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:36:51 EDT 2012

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Oct 14 2005

Discussion

Fri Mar 30

18:36

OEIS Server: https://oeis.org/edit/global/213

#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

KEYWORD

nonn,new

nonn

AUTHOR

Paul D . Hanna (pauldhanna(AT)juno.com), Oct 14 2005

#1 by N. J. A. Sloane at Tue Jan 24 03:00:00 EST 2006

NAME

Diagonal of square table A113081; also, a(n) equals the n-th term in column 0 of the matrix (n+1)-th power of triangle A113084.

DATA

1, 2, 21, 724, 75695, 23694838, 22239639177, 62747494950248, 532868670719193651, 13624738004791751175370, 1048678107774203901392276461, 242892250870416811233766661498812

OFFSET

1,2

PROG

(PARI) {a(n, q=3)=local(M=matrix(n+1, n+1)); for(r=1, n+1, for(c=1, r, M[r, c]=if(r==c, 1, if(c>1, (M^q)[r-1, c-1])+(M^q)[r-1, c]))); return(if(n<1, 0, (M^n)[n, 1]))}

CROSSREFS

Cf. A113081, A113084.

KEYWORD

nonn

AUTHOR

Paul D Hanna (pauldhanna(AT)juno.com), Oct 14 2005

STATUS

approved