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 A370177 #6 Apr 20 2024 22:13:07
%S A370177 1,7,55,433,3415,26935,212449,1675687,13216951,104248465,822257911,
%T A370177 6485544631,51154617793,403481136967,3182450283319,25101519942001,
%U A370177 197987791577239,1561625180634679,12317290805483425,97152411902826727,766287918958171063,6044082316026984529
%N A370177 a(n) = floor(x*a(n-1)) for n > 0 where x = (7 + sqrt(77))/2, a(0) = 1.
%C A370177 x = (7+sqrt(77))/2 = A092290 = 7.88748219...
%F A370177 a(n) = 8*a(n-1) - 7*a(n-3) for n > 2, a(0) = 1, a(1) = 7, a(2) = 55.
%F A370177 G.f.: (1-x-x^2)/(1-8*x+7*x^3).
%F A370177 a(n) = 7*a(n-1) + 7*a(n-2) - 1.
%F A370177 a(n) = (12*A057090(n) + 6*A057090(n-1) + 1)/13.
%F A370177 a(n) = (6*(77+8*sqrt(77))*((7+sqrt(77))/2)^n + 6*(77-8*sqrt(77))*((7-sqrt(77))/2)^n + 77)/1001.
%F A370177 a(n) = Sum_{k = 0..n} A370174(n,k)*6^k.
%Y A370177 Cf. A057090, A092290, A370174.
%K A370177 nonn,easy
%O A370177 0,2
%A A370177 _Philippe Deléham_, Mar 29 2024