OFFSET
1,2
COMMENTS
Partial sums of A001405, to which an additional leading 1 is added. - Paul Barry, Oct 12 2004
FORMULA
G.f.: 1/2*x*(((1+2*x)/(1-2*x))^(1/2)-1)/(1-x)-1. - Vladeta Jovovic, Jan 15 2004
G.f. : (sqrt(1+2x)+1/sqrt(1-2x))/((1-x)(sqrt(1+2x)+sqrt(1-2x))); a(n)=1+sum{k=0..n, binomial(n-1, floor((n-1)/2)}. - Paul Barry, Oct 12 2004
Conjecture: (-n+1)*a(n) +(n+1)*a(n-1) +2*(2*n-7)*a(n-2) +4*(-n+3)*a(n-3)=0. - R. J. Mathar, Nov 26 2012
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, Jul 30 2002
STATUS
approved