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%I #16 Jul 31 2024 11:17:49
%S 1,6,16,32,54,81,114,152,195,244,297,356,421,491,568,649,735,827,923,
%T 1026,1134,1247,1367,1491,1621,1756,1895,2041,2192,2349,2512,2679,
%U 2852,3030,3213,3402,3596,3796,4002,4213,4429,4650,4876,5108,5346,5589,5838,6092,6351,6616,6885
%N Partial sums of A301712.
%C Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301712. - _Ray Chandler_, Aug 30 2023
%H Ray Chandler, <a href="/A301713/b301713.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,-1,3,-3,1,0,1,-2,1).
%F From _Colin Barker_, Apr 07 2018: (Start)
%F G.f.: (1 + x + x^2)*(1 + 3*x + x^2 + 2*x^3 + 4*x^4 + 2*x^5 + x^6 + 3*x^7 + x^8) / ((1 - x)^3*(1 + x^4)*(1 + x + x^2 + x^3 + x^4)).
%F a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 3*a(n-5) - 3*a(n-6) + a(n-7) + a(n-9) - 2*a(n-10) + a(n-11) for n>10. (End)
%t LinearRecurrence[{2, -1, 0, -1, 3, -3, 1, 0, 1, -2, 1}, {1, 6, 16, 32, 54, 81, 114, 152, 195, 244, 297}, 100] (* _Paolo Xausa_, Jul 31 2024 *)
%Y Cf. A301712.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 26 2018
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