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 A331122 #22 Feb 16 2025 08:33:59
%S A331122 0,1,3,15,114,1242,17129,284714,5526741,122592633,3057488913,
%T A331122 84665033543,2576896828787,85495426794698,3070641026296061,
%U A331122 118685141706060740,4911825483278949553,216697390123422589527,10151899714746097960699,503310218588181014061292
%N A331122 Nearest integer to Integral_{x=0..n} x^x dx.
%C A331122 The antiderivative of x^x cannot be described in terms of elementary functions.
%C A331122 a(1)=1 is the rounding of A083648.
%H A331122 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SophomoresDream.html">Sophomore's Dream</a>
%e A331122 Integral_{X=0..4} x^x dx = 114.119062..., so a(4) = 114.
%e A331122 Integral_{x=0..7} x^x dx = 284713.7347218579997..., so a(7) = 284714.
%t A331122 Table[Round[NIntegrate[x^x,{x,0,n},WorkingPrecision->100]],{n,0,20}] (* _Harvey P. Dale_, Nov 04 2020 *)
%o A331122 (PARI) for(k=0,19,print1(round(intnum(x=0,k,x^x)),", ")) \\ _Hugo Pfoertner_, Jan 18 2020
%Y A331122 Cf. A000312, A083648.
%K A331122 nonn
%O A331122 0,3
%A A331122 _Eliora Ben-Gurion_, Jan 10 2020