login

Revision History for A111842

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
Row sums of triangle A111840, which shifts columns left and up under matrix cube.
(history; published version)
#4 by Russ Cox at Fri Mar 30 18:36:50 EDT 2012
AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Aug 23 2005

Discussion
Fri Mar 30
18:36
OEIS Server: https://oeis.org/edit/global/213
#3 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), Aug 23 2005

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

(PARI) {a(n, q=3)=local(A=Mat(1), B); if(n<0, 0, for(m=1, n+2, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, if(j==1, B[i, j]=(A^q)[i-1, 1], B[i, j]=(A^q)[i-1, j-1])); )); A=B); return(sum(k=0, n, A[n+1, k+1])))}

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005
NAME

Row sums of triangle A111840, which shifts columns left and up under matrix cube.

DATA

1, 2, 7, 46, 595, 16444, 1048303, 162728110, 63746277967, 64594795730680, 172419318632651104, 1229463017642626881490, 23684690483668583872503679, 1244115601652916934000237966330, 179585081405174505374545193721101377

OFFSET

0,2

PROG

(PARI) {a(n, q=3)=local(A=Mat(1), B); if(n<0, 0, for(m=1, n+2, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, if(j==1, B[i, j]=(A^q)[i-1, 1], B[i, j]=(A^q)[i-1, j-1])); )); A=B); return(sum(k=0, n, A[n+1, k+1])))}

CROSSREFS

Cf. A111840, A078125 (variant).

KEYWORD

nonn

AUTHOR

Paul D Hanna (pauldhanna(AT)juno.com), Aug 23 2005

STATUS

approved