OFFSET
0,1
COMMENTS
I am looking for the asymptotics of this sequence (scaled by the appropriate denominator). I'm convinced that a(n) / n^(1-log(2)/log(3)) -> constant but need to know more about sequence to solve this problem.
MAPLE
with(combinat, numbcomb): ntop := 25: for n from 1 to ntop do a[n] := sum('numbcomb(n, k)*(-1)^k*1/(2*3^k - 3)', 'k'=0..n): b[n] := product('2*3^k - 3', 'k'=0..n): od: for n from 1 to ntop do c[n] := solve(x/b[n] = a[n]); od;
CROSSREFS
KEYWORD
frac,nonn,uned
AUTHOR
Nathan B. Shank (nas2(AT)lehigh.edu), Nov 11 2002
STATUS
approved