A173224 Row sums of triangle A173220.

0, 1, 6, 87, 4288, 433045, 70899306, 16947087955, 5544027333440, 2372735984247009, 1284753824984593630, 857573459327085778431, 691208427837113229333984, 661423852799242010825878453

Offset

0,3

Comments

Triangle A173220 is the matrix log of triangle T = A173210, which 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=Mat(1), 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, L[n+1, k])/(n+1)}

Crossrefs

Cf. A173220, A173221, A173222, A173223.

Sequence in context: A245982 A294045 A171207 * A210012 A226426 A210005

Adjacent sequences: A173221 A173222 A173223 * A173225 A173226 A173227

Keyword

nonn

Author

Paul D. Hanna, Feb 12 2010

Status

approved