A014168 - OEIS

%I #15 Nov 09 2017 15:47:14

%S 1,3,7,14,26,47,84,149,264,468,831,1479,2637,4709,8420,15069,26987,

%T 48356,86677,155408,278694,499851,896594,1608353,2885280,5176183,

%U 9286284,16660260,29890069,53626053,96211592,172615925,309696044,555637311,996891328,1788564939

%N Apply partial sum operator twice to binary rooted tree numbers.

%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>

%H <a href="/index/Tra#trees">Index entries for sequences related to trees</a>

%F G.f.: (B(x)-x)/x(1-x)^2 where B(x) is g.f. of A002572.

%Y Cf. A002572. Partial sums of A014167, not of A173404.

%K nonn

%O 1,2

%A _N. J. A. Sloane_.