cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A301290 Partial sums of A301289.

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%I A301290 #17 Jun 21 2024 19:23:40
%S A301290 1,5,10,16,28,42,57,75,96,122,150,176,207,245,282,320,364,410,457,507,
%T A301290 560,618,678,736,799,869,938,1008,1084,1162,1241,1323,1408,1498,1590,
%U A301290 1680,1775,1877,1978,2080,2188,2298,2409,2523,2640,2762,2886,3008,3135,3269,3402,3536
%N A301290 Partial sums of A301289.
%C A301290 Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301289. - _Ray Chandler_, Aug 31 2023
%H A301290 Ray Chandler, <a href="/A301290/b301290.txt">Table of n, a(n) for n = 0..1000</a>
%H A301290 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (3,-5,7,-8,8,-7,5,-3,1).
%F A301290 From _Chai Wah Wu_, Feb 03 2021: (Start)
%F A301290 a(n) = 3*a(n-1) - 5*a(n-2) + 7*a(n-3) - 8*a(n-4) + 8*a(n-5) - 7*a(n-6) + 5*a(n-7) - 3*a(n-8) + a(n-9) for n > 9.
%F A301290 G.f.: (2*x^9 - 6*x^8 + 4*x^7 - 6*x^6 - 3*x^4 - 4*x^3 - 2*x - 1)/((x - 1)^3*(x^2 + 1)*(x^2 - x + 1)*(x^2 + x + 1)). (End)
%t A301290 Accumulate[LinearRecurrence[{2,-3,4,-4,4,-3,2,-1},{1,4,5,6,12,14,15,18,21,26},100]] (* _Harvey P. Dale_, Jun 21 2024 *)
%Y A301290 Cf. A301289.
%K A301290 nonn,easy
%O A301290 0,2
%A A301290 _N. J. A. Sloane_, Mar 23 2018