OFFSET
0,2
COMMENTS
Conjecture: the sequence is strictly increasing.
FORMULA
G.f.: 1/(Sum_{k>=0} [(-1 + (k+1)*r](-x)^k), where r = (3 + sqrt(5))/2 = 1 + golden ratio and [ ] = floor.
MATHEMATICA
CoefficientList[Series[1/Sum[Floor[-1 + (k + 1)*(1 + GoldenRatio)] (-x)^k, {k, 0, 100}], {x, 0, 50}], x]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jul 10 2017
STATUS
approved