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A185631
Row sums of triangle
A185628
.
3
1, 4, 10, 32, 137, 766, 5382, 46022, 467206, 5519252, 74629263, 1139283601, 19411643752, 365595475542, 7548810986515, 169681672611815, 4126880020198630, 108026180912533227, 3029184083924476085, 90617948406514693702, 2881333799993441893564, 97057552263114611503090
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OFFSET
0,2
COMMENTS
Triangle
A185628
equals the matrix cube of triangle R =
A185620
, which satisfies: R^3 - R^2 + I = R shifted left one column.
LINKS
Table of n, a(n) for n=0..21.
PROG
(PARI) {a(n)=local(A=Mat(1), B); for(m=1, n+1, B=A^3-A^2+A^0; A=matrix(m+1, m+1); for(i=1, m+1, for(j=1, i, if(i<2||j==i, A[i, j]=1, if(j==1, A[i, j]=1, A[i, j]=B[i-1, j-1]))))); return(sum(k=1, n+1, (A^3)[n+1, k]))}
CROSSREFS
Cf.
A185620
,
A185628
,
A185629
,
A185630
.
Sequence in context:
A151746
A378858
A110145
*
A174520
A179654
A162427
Adjacent sequences:
A185628
A185629
A185630
*
A185632
A185633
A185634
KEYWORD
nonn
AUTHOR
Paul D. Hanna
, Sep 07 2011
STATUS
approved