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.
%I A301715 #17 Jul 31 2024 11:17:57 %S A301715 1,6,18,34,55,83,114,152,196,243,299,358,422,494,567,649,736,826,926, %T A301715 1027,1135,1250,1366,1492,1621,1755,1898,2042,2194,2351,2511,2680, %U A301715 2852,3030,3215,3403,3598,3798,4002,4213,4429,4650,4878,5110,5347,5591,5838,6092,6352,6615,6887,7162,7442,7730,8019,8317,8620 %N A301715 Partial sums of A301714. %C A301715 Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301714. - _Ray Chandler_, Aug 30 2023 %H A301715 Ray Chandler, <a href="/A301715/b301715.txt">Table of n, a(n) for n = 0..1000</a> %H A301715 <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 A301715 From _Colin Barker_, Apr 09 2018: (Start) %F A301715 G.f.: (1 + 4*x + 7*x^2 + 4*x^3 + 6*x^4 + 10*x^5 + 6*x^6 + 4*x^7 + 7*x^8 + 4*x^9+ x^10) / ((1 - x)^3*(1 + x^4)*(1 + x + x^2 + x^3 + x^4)). %F A301715 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 A301715 LinearRecurrence[{2, -1, 0, -1, 3, -3, 1, 0, 1, -2, 1}, {1, 6, 18, 34, 55, 83, 114, 152, 196, 243, 299}, 100] (* _Paolo Xausa_, Jul 31 2024 *) %Y A301715 Cf. A301714. %K A301715 nonn %O A301715 0,2 %A A301715 _N. J. A. Sloane_, Mar 26 2018