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A132871
Row sums of triangle A132870.
5
1, 2, 11, 187, 8773, 839646, 133300339, 31291905772, 10122557147385, 4300934246160076, 2317558708205485081, 1541860131242384674128, 1239881178206743212010765, 1184508936070261192267164198, 1325258287136553589782331922050, 1715621657359292790451015326356731, 2543410864718645478299008219865041201, 4279628364701395837326264606420611392952
OFFSET
0,2
COMMENTS
Triangle T=A132870 obeys: the g.f. of row n of T^n = (y + n^2)^n for n>=0.
LINKS
PROG
(PARI) {a(n)=local(M=Mat(1), N, L); for(i=1, n, N=M; M=matrix(#N+1, #N+1, r, c, if(r>=c, if(r<=#N, (N^(#N))[r, c], polcoeff((x+(#M)^2)^(#M), c-1)))); L=sum(i=1, #M, -(M^0-M)^i/i); M=sum(i=0, #M, (L/#N)^i/i!); ); sum(k=0, n, M[n+1, k+1])}
CROSSREFS
Cf. A132870 (triangle), columns: A132872, A132873.
Sequence in context: A365361 A013104 A007984 * A140314 A226052 A271429
KEYWORD
nonn,fini,full
AUTHOR
Paul D. Hanna, Sep 29 2007
STATUS
approved