OFFSET
0,4
FORMULA
EXAMPLE
5^0 = 1;
5^1 = 1 + (4)*1;
5^2 = 1 + (4)*2 + (4)*2^2;
5^3 = 1 + (4)*3 + (4)*3^2 + (76/27)*3^3;
5^4 = 1 + (4)*4 + (4)*4^2 + (76/27)*4^3 + (307/216)*4^4.
Initial coefficients are:
13464073/72900000, 3084163593839/60036284700000,
6109976845914041/491817244262400000, ...}
PROG
(PARI) {a(n)=denominator(sum(k=0, n, 5^k*(matrix(n+1, n+1, r, c, if(r>=c, (r-1)^(c-1)))^-1)[n+1, k+1]))}
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Paul D. Hanna, May 10 2005
STATUS
approved