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 A284987 #19 Feb 16 2025 08:33:43
%S A284987 37,225,3375,196069,86818724,9317,899319,852846071,24906114455136,
%T A284987 4990602,2233,105519,34276462,5854,76,8,2,1
%N A284987 Juggler sequence starting at 37.
%C A284987 Many sources state that the Juggler sequence on 37 is, for example, "the first tall peak in its graph", and "the high water number of steps are" and so on, without specifically giving the actual sequence. As this specific instance is cited in various places as a specific instance, if not a special case, it seems worthy to document it here explicitly.
%D A284987 David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Revised Edition, Penguin Books, 1997, page 99.
%H A284987 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/JugglerSequence.html">Juggler Sequence</a>
%H A284987 Calculated using the Juggler Sequence calculator found at <a href="https://web.archive.org/web/20110607051447/http://members.chello.nl/k.ijntema/juggler.html">Calculation for it</a>
%F A284987 a(0) = 37, a(n) = floor(sqrt(a(n-1))): n even, a(n) = floor((sqrt(a(n-1)))^3): n odd.
%o A284987 (PARI) Juggler(n)={my(L=List([n])); while(n<>1, n=sqrtint(n^(2-(-1)^n)); listput(L,n)); Vec(L)}
%o A284987 { Juggler(37) } \\ _Andrew Howroyd_, Apr 27 2020
%Y A284987 Cf. A007320, A094670, A094683.
%K A284987 nonn,full,fini
%O A284987 0,1
%A A284987 _Matt Westwood_, Apr 07 2017