OFFSET
0,2
COMMENTS
Sum_{k>=0} a(k)/A107052(k) = 8.2025187671791748426202820386803825244610468145759213023...
FORMULA
EXAMPLE
4^0 = 1;
4^1 = 1 + (3)*1;
4^2 = 1 + (3)*2 + (9/4)*2^2;
4^3 = 1 + (3)*3 + (9/4)*3^2 + (5/4)*3^3;
4^4 = 1 + (3)*4 + (9/4)*4^2 + (5/4)*4^3 + (127/256)*4^4.
Initial coefficients are:
385829/9600000, 70009765747/7906012800000,
220026935042111/129532113715200000, ...}.
PROG
(PARI) {a(n)=numerator(sum(k=0, n, 4^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