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A301685 Partial sums of A301684. 1

%I #15 Aug 30 2023 21:45:46

%S 1,5,13,25,43,65,93,127,163,205,253,303,359,421,485,555,631,709,793,

%T 883,975,1073,1177,1283,1395,1513,1633,1759,1891,2025,2165,2311,2459,

%U 2613,2773,2935,3103,3277,3453,3635,3823,4013,4209,4411,4615,4825,5041,5259,5483,5713,5945,6183,6427,6673,6925,7183,7443,7709,7981

%N Partial sums of A301684.

%C Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301684. - _Ray Chandler_, Aug 30 2023

%H Ray Chandler, <a href="/A301685/b301685.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (2, -1, 1, -2, 1).

%F From _Chai Wah Wu_, Feb 03 2021: (Start)

%F a(n) = 2*a(n-1) - a(n-2) + a(n-3) - 2*a(n-4) + a(n-5) for n > 8.

%F G.f.: (2*x^8 - 2*x^6 - 3*x^4 - 3*x^3 - 4*x^2 - 3*x - 1)/((x - 1)^3*(x^2 + x + 1)). (End)

%Y Cf. A301684.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Mar 25 2018

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Last modified April 25 06:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)