%I #16 Aug 30 2023 12:30:44
%S 1,6,16,31,53,80,111,149,192,239,293,352,415,485,560,639,725,816,911,
%T 1013,1120,1231,1349,1472,1599,1733,1872,2015,2165,2320,2479,2645,
%U 2816,2991,3173,3360,3551,3749,3952,4159,4373,4592,4815,5045,5280,5519,5765,6016,6271
%N Partial sums of A301722.
%C Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301722.  _Ray Chandler_, Aug 30 2023
%H Ray Chandler, <a href="/A301723/b301723.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (2, 1, 1, 2, 1).
%F From _Colin Barker_, Apr 06 2018: (Start)
%F G.f.: (1 + x)^2*(1 + 2*x  x^2)*(1 + x^2) / ((1  x)^3*(1 + x + x^2)).
%F a(n) = 2*a(n1)  a(n2) + a(n3)  2*a(n4) + a(n5) for n>4.
%F (End)
%Y Cf. A301722.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 26 2018
