OFFSET
0,2
COMMENTS
Row sums of A125177.
Equals the eigensequence of a triangle with A000108 as the left border and the rest 1's. - Gary W. Adamson, Jul 24 2010
FORMULA
G.f.: (1-x)*(1-sqrt(1-4*x)) / (2*x*(1-2*x)).
D-finite with recurrence (n+1)*a(n) +(-7*n+1)*a(n-1) +2*(7*n-8)*a(n-2) +4*(-2*n+5)*a(n-3)=0. - R. J. Mathar, Jul 22 2022
EXAMPLE
a(4)=35 because c(4)+c(3)+2*c(2)+4*c(1)+8*c(0) = 14+5+2*2+4*1+8*1 = 35.
MAPLE
c:=n->binomial(2*n, n)/(n+1): a:=n->c(n)+sum(2^(n-j-1)*c(j), j=0..n-1): seq(a(n), n=0..30);
CROSSREFS
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Dec 28 2006
STATUS
approved