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%I #13 Aug 30 2023 22:29:01
%S 1,5,13,25,41,63,89,115,151,187,231,273,327,377,441,497,569,635,717,
%T 787,879,959,1059,1145,1255,1349,1469,1569,1697,1807,1945,2059,2207,
%U 2331,2487,2617,2783,2921,3097,3241,3425,3579,3773,3931,4135,4303,4515,4689,4911,5093,5325,5513,5753,5951,6201,6403,6663
%N Partial sums of A301670.
%C Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301670. - _Ray Chandler_, Aug 30 2023
%H Ray Chandler, <a href="/A301671/b301671.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 1, 1, -1, -1, -1, 0, 1).
%F From _Chai Wah Wu_, Mar 11 2021: (Start)
%F a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-5) - a(n-6) - a(n-7) + a(n-9) for n > 9.
%F G.f.: (2*x^9 - x^8 - 5*x^7 - 16*x^6 - 21*x^5 - 22*x^4 - 19*x^3 - 12*x^2 - 5*x - 1)/((x - 1)^3*(x + 1)^2*(x^2 + 1)*(x^2 + x + 1)). (End)
%Y Cf. A301670.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 25 2018
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