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 A114950 #21 Oct 09 2024 06:25:27 %S A114950 1,1,2,17,83525,48670514501156640914, %T A114950 5611303368570568119463158581109807779153712597124269146443734128560476495542441 %N A114950 a(n) = a(n-1)^4 + a(n-2)^2, with a(0) = a(1) = 1. %C A114950 a(7) has 315 digits. %H A114950 <a href="/index/Aa#AHSL">Index entries for sequences of form a(n+1)=a(n)^2 + ...</a> %F A114950 a(n) ~ c^(4^n), where c = 1.045263645117629170027922399491730015846213509999461317320720034161754262379... . - _Vaclav Kotesovec_, Dec 18 2014 %e A114950 a(2) = a(1)^4 + a(0)^2 = 1^4 + 1^2 = 2. %e A114950 a(3) = a(2)^4 + a(1)^2 = 2^4 + 1^2 = 17. %e A114950 a(4) = a(3)^4 + a(2)^2 = 17^4 + 2^2 = 83525. %e A114950 a(5) = a(4)^4 + a(3)^2 = 83525^4 + 17^2 = 48670514501156640914. %t A114950 RecurrenceTable[{a[0] ==1, a[1] == 1, a[n] == a[n-1]^4 + a[n-2]^2}, a, {n, 0, 8}] (* _Vaclav Kotesovec_, Dec 18 2014 *) %Y A114950 Cf. A000283, A112969, A114793. %K A114950 easy,nonn %O A114950 0,3 %A A114950 _Jonathan Vos Post_, Feb 21 2006 %E A114950 Formula corrected by _Vaclav Kotesovec_, Dec 18 2014 %E A114950 Missing a(3) added from _Vaclav Kotesovec_, Dec 18 2014