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 A066022 #46 Sep 08 2022 08:45:04 %S A066022 1,1,2,3,4,5,6,8,9,11,12,13,15,17,18,20,21,23,25,27,28,30,32,34,35,37, %T A066022 39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83, %U A066022 85,88,90,92,94,96,98,101,103,105,107,109,112,114,116,118,121,123,125 %N A066022 Number of digits in n^n. %C A066022 This is almost certainly the same as the number of decimal digits of the sum of the n-th powers of the divisors of n (a sequence submitted by _Labos Elemer_ on Jan 14 2002). Although no formal proof for this is known, _Jon E. Schoenfield_ has verified it for n up to 10^8 and has given a plausible heuristic argument that it is true for all n. %H A066022 Harry J. Smith, <a href="/A066022/b066022.txt">Table of n, a(n) for n=1..1000</a> %F A066022 a(n) = A055642(A000312(n)). - _Michel Marcus_, Dec 05 2019 %p A066022 [seq(length(n^n), n=1..55)]; # _Zerinvary Lajos_, Mar 10 2007 %t A066022 Table[IntegerLength[n^n], {n, 80}] (* _Vincenzo Librandi_, Mar 08 2015 *) %o A066022 (PARI) a(n)=#digits(n^n); \\ _Joerg Arndt_, Apr 30 2020 %o A066022 (Magma) [ #Intseq(n^n): n in [1..80] ]; // _Vincenzo Librandi_, Mar 08 2015 %Y A066022 Cf. A000312, A054382, A055642. %K A066022 base,easy,nonn %O A066022 1,3 %A A066022 Robert A. Stump (bee_ess107(AT)yahoo.com), Dec 11 2001 %E A066022 Edited by _N. J. A. Sloane_ Jan 03 2009 at the suggestion of _Jon E. Schoenfield_.