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 A093123 #7 Jun 29 2023 18:43:47 %S A093123 1,4,20,120,800,5600,40000,288000,2080000,15040000,108800000, %T A093123 787200000,5696000000,41216000000,298240000000,2158080000000, %U A093123 15616000000000,112998400000000,817664000000000,5916672000000000,42813440000000000 %N A093123 Third binomial transform of Fibonacci(3n-1) (A015448). %H A093123 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10, -20). %F A093123 G.f.: (1-6x)/(1-10x+20x^2). %F A093123 a(n) = (5-sqrt(5))*(5+sqrt(5))^n/10 + (5+sqrt(5))*(5-sqrt(5))^n/10. %F A093123 a(n) = 2^n*A093129(n). %Y A093123 Cf. A000045, A015448, A093129. %K A093123 easy,nonn %O A093123 0,2 %A A093123 _Paul Barry_, Mar 23 2004