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 A301713 Partial sums of A301712. 1

%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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Last modified September 7 05:42 EDT 2024. Contains 375729 sequences. (Running on oeis4.)