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A301721 Partial sums of A301720. 1

%I #20 Aug 30 2023 11:36:02

%S 1,7,16,34,55,79,115,151,190,244,295,349,421,487,556,646,727,811,919,

%T 1015,1114,1240,1351,1465,1609,1735,1864,2026,2167,2311,2491,2647,

%U 2806,3004,3175,3349,3565,3751,3940,4174,4375,4579,4831,5047,5266,5536,5767,6001,6289,6535,6784,7090,7351,7615,7939,8215,8494,8836

%N Partial sums of A301720.

%C Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301720. - _Ray Chandler_, Aug 30 2023

%H Ray Chandler, <a href="/A301721/b301721.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 2, -2, 0, -1, 1).

%F From _Colin Barker_, Apr 09 2018: (Start)

%F G.f.: (1 + 6*x + 9*x^2 + 16*x^3 + 9*x^4 + 6*x^5 + x^6) / ((1 - x)^3*(1 + x + x^2)^2).

%F a(n) = a(n-1) + 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7) for n>6.

%F (End)

%Y Cf. A301720.

%K nonn

%O 0,2

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

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Last modified July 16 08:10 EDT 2024. Contains 374345 sequences. (Running on oeis4.)