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 A301723 Partial sums of A301722. 1

%I #16 Aug 30 2023 12:30:44

%S 1,6,16,31,53,80,111,149,192,239,293,352,415,485,560,639,725,816,911,

%T 1013,1120,1231,1349,1472,1599,1733,1872,2015,2165,2320,2479,2645,

%U 2816,2991,3173,3360,3551,3749,3952,4159,4373,4592,4815,5045,5280,5519,5765,6016,6271

%N Partial sums of A301722.

%C Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301722. - _Ray Chandler_, Aug 30 2023

%H Ray Chandler, <a href="/A301723/b301723.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 _Colin Barker_, Apr 06 2018: (Start)

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

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

%F (End)

%Y Cf. A301722.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Mar 26 2018

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