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%I #12 Sep 06 2023 01:09:59
%S 1,4,10,20,32,46,66,89,111,138,172,206,240,280,326,373,419,470,530,
%T 590,646,710,784,855,923,1000,1086,1170,1250,1338,1438,1535,1625,1726,
%U 1840,1948,2050,2164,2290,2411,2525,2650,2790,2924,3048,3186,3340,3485,3621,3772,3938
%N Partial sums of A301285.
%F Conjectures from _Chai Wah Wu_, Sep 05 2023: (Start)
%F a(n) = 2*a(n-1) - 3*a(n-2) + 5*a(n-3) - 5*a(n-4) + 5*a(n-5) - 5*a(n-6) + 3*a(n-7) - 2*a(n-8) + a(n-9) for n > 8.
%F G.f.: (-x^8 - 2*x^7 - 5*x^6 - 7*x^5 - 7*x^4 - 7*x^3 - 5*x^2 - 2*x - 1)/((x - 1)^3*(x^2 + 1)^2*(x^2 + x + 1)). (End)
%Y Cf. A301285.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 23 2018