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 A387243 #34 Sep 02 2025 09:23:14 %S A387243 1,1,2,11,41,130,378,1064,2940,8053,21966,59802,162670,442315,1202492, %T A387243 3268889,8885966,24154791,65659789,178482101,485164975,1318815492, %U A387243 3584912582,9744803158,26489121817,72004898999,195729609064,532048240210,1446257063871,3931334296694 %N A387243 a(n) is the smallest positive k such that (k+n)^k < (k+1)^(k+1). %C A387243 Conjecture: a(n) = A382131(n) - n. %H A387243 Chai Wah Wu, <a href="/A387243/b387243.txt">Table of n, a(n) for n = 1..500</a> %t A387243 a[n_]:=Floor[NSolveValues[k*Log[(k+n)]==(k+1)*Log[(k+1)], k, Reals]][[-1]]+1; Array[a, 30] (* _James C. McMahon_, Aug 31 2025 *) %Y A387243 Cf. A381767, A382131. %K A387243 nonn,new %O A387243 1,3 %A A387243 _Dwight Boddorf_, Aug 23 2025 %E A387243 More terms from _Hugo Pfoertner_, Aug 23 2025