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Partial sums of A296910.
2

%I #10 Aug 30 2023 17:15:20

%S 1,5,11,25,39,61,83,113,143,181,219,265,311,365,419,481,543,613,683,

%T 761,839,925,1011,1105,1199,1301,1403,1513,1623,1741,1859,1985,2111,

%U 2245,2379,2521,2663,2813,2963,3121,3279,3445,3611,3785,3959,4141,4323,4513,4703,4901,5099,5305,5511,5725

%N Partial sums of A296910.

%H Robert Israel, <a href="/A296911/b296911.txt">Table of n, a(n) for n = 0..10000</a>

%H Reticular Chemistry Structure Resource (RCSR), <a href="http://rcsr.net/layers/bew">The bew tiling (or net)</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2, 0, -2, 1).

%F From _Robert Israel_, Dec 22 2017: (Start)

%F a(n) = 2*n^2 + 2*n - (-1)^n for n >= 1.

%F G.f.: (1+3*x+x^2+5*x^3-2*x^4)/((1+x)*(1-x)^3). (End)

%p 1, seq(2*n^2 + 2*n - (-1)^n,n=1..100); # _Robert Israel_, Dec 22 2017

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Dec 22 2017