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A173215 Row sums of triangle A173210. 1
1, 2, 9, 130, 5801, 549066, 86723617, 20271902834, 6531967419105, 2765255048181586, 1485110148765267161, 985070868793251223842, 790007920377720295086409, 752911901689684021069284410 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Triangle T = A173210 satisfies: row n of T^n = row n of (I+D)^(n^2) where D is the lower diagonal matrix: D(n+1,n)=n+1.

LINKS

Table of n, a(n) for n=0..13.

PROG

(PARI) {a(n)=local(M=Mat(1), N, L, C=matrix(n+2, n+2, r, c, if(r==c, 1, if(r==c+1, c)))); for(i=1, n+1, N=M; M=matrix(#N+1, #N+1, r, c, if(r>=c, if(r<=#N, (N^(#N))[r, c], (C^((#M)^2))[r, c]))); L=sum(i=1, #M, -(M^0-M)^i/i); M=sum(i=0, #M, (L/#N)^i/i!); ); sum(k=1, n+1, M[n+1, k])}

CROSSREFS

Cf. A173210, A173211, A173212, A173213.

Sequence in context: A162955 A197314 A064448 * A110817 A189428 A110860

Adjacent sequences:  A173212 A173213 A173214 * A173216 A173217 A173218

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 12 2010

STATUS

approved

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Last modified October 22 10:00 EDT 2014. Contains 248391 sequences.