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 A192255 #17 Aug 23 2025 02:54:49 %S A192255 0,4,13,45,120,300,692,1524,3225,6625,13280,26096,50432,96100,180925, %T A192255 337085,622328,1139756,2072580,3744980,6728345,12026209,21395328, %U A192255 37901760,66881760,117598660,206094157,360085869,627364920,1090171020 %N A192255 1-sequence of reduction of (n^2) by x^2 -> x+1. %C A192255 See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]". %F A192255 Empirical g.f.: x^2*(4-3*x+5*x^2-x^3)/(1-x)/(1-x-x^2)^3. - _Colin Barker_, Feb 10 2012 %F A192255 a(n) = Sum_{i=1..n+1} i^2*Fibonacci(i-1) (conjectured). - _Greg Dresden_, Oct 10 2023 %t A192255 (* See A192254. *) %Y A192255 Cf. A192232, A192254. %K A192255 nonn,changed %O A192255 1,2 %A A192255 _Clark Kimberling_, Jun 27 2011