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 A323635 #28 Aug 12 2022 09:23:13
%S A323635 1,3,2,7,6,13,5,22,4,33,10,12,21,11,32,19,20,31,30,43,9,45,18,44,29,
%T A323635 58,8,60,17,59,28,75,16,76,27,94,15,95,26,115,14,116,25,138,24,163,23,
%U A323635 190,35,42,57,41,74,40,93,39,114,38,137,37,162,36,189,50,56,73,55,92,54,113,53,136
%N A323635 Lexicographically earliest sequence of distinct positive integers such that the nested square root sqrt(a(n) + sqrt(a(n-1) + ... + sqrt(a(1))...)) is an integer.
%C A323635 A permutation of positive integers.
%H A323635 Ivan Neretin, <a href="/A323635/b323635.txt">Table of n, a(n) for n = 1..10000</a>
%H A323635 Mathematics Stack Exchange, <a href="https://math.stackexchange.com/questions/2469058/a-n-is-the-smallest-positive-integer-number-such-that-sqrta-n-sqrta-n-1">a_n is the smallest positive integer number such that ...</a>
%o A323635 (PARI) lista(nn) = {my(va = vector(nn), lastsq); va[1] = 1; lastsq = 1; for (n=2, nn, my(k = ceil(sqrt(sqrtint(lastsq)))); while (#select(x->(x==(k^2-sqrtint(lastsq))), va), k++); va[n] = k^2-sqrtint(lastsq); lastsq = k^2;); va;} \\ _Michel Marcus_, Oct 13 2020
%Y A323635 Cf. A323636 (values of the square roots), A323637 (similar definition with minus).
%K A323635 nonn,look
%O A323635 1,2
%A A323635 _Ivan Neretin_, Jan 21 2019, following a suggestion from Edward Turkevich