OFFSET
1,1
COMMENTS
1/3 = 3/10 + 3/99 + 3/1090, + 3/11880 + ..., = 3/(1*10) + 3/(3*33) + 3/(10*109) + 3/(33*360) + ...
Odd n terms == 1 mod 9; even n terms == 0 mod 9
FORMULA
Empirical g.f.: -x*(x-10) / ((x+1)*(x^2-11*x+1)). - Colin Barker, Oct 20 2013
For n >= 4, a(n) = 10*a(n-1) + 10*a(n-2) - a(n-3); from this it follows that the conjectured generating function is correct. - Sela Fried, Oct 14 2024
CROSSREFS
KEYWORD
nonn,changed
AUTHOR
Gary W. Adamson, Mar 16 2008
STATUS
approved