cp's OEIS Frontend

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.

A114950 a(n) = a(n-1)^4 + a(n-2)^2, with a(0) = a(1) = 1.

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%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