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 A165066 #9 Jun 02 2025 01:59:19 %S A165066 1,0,1,0,1,3,0,2,1,4,2,3,2,5,4,5,3,8,4,8,6,9,7,10,8,13,9,13,10,17,12, %T A165066 16,14,19,16,21,16,24,19,25,21,28,23,29,26,33,27,35,29,39,33,39,35,44, %U A165066 38,46,40,50,43,53,46,56,50,58,53,64,55,66,59,71,63,73,66,78,71,81,73,87 %N A165066 Number of n-digit fixed points under the base-6 Kaprekar map A165051. %H A165066 Joseph Myers, <a href="/A165066/b165066.txt">Table of n, a(n) for n=1..100</a> %H A165066 <a href="/index/K#Kaprekar_map">Index entries for the Kaprekar map</a> %F A165066 Conjectures from _Chai Wah Wu_, Apr 13 2024: (Start) %F A165066 a(n) = - a(n-1) + a(n-3) + 2*a(n-4) + 2*a(n-5) + a(n-6) - a(n-7) - 2*a(n-8) - 2*a(n-9) - a(n-10) + a(n-12) + a(n-13) for n > 15. %F A165066 G.f.: x*(-x^14 + x^8 - x^5 + x^4 - x^2 - x - 1)/((x - 1)^3*(x + 1)^2*(x^2 + 1)*(x^2 + x + 1)*(x^4 + x^3 + x^2 + x + 1)). (End) %Y A165066 Cf. A165051, A165055, A165064, A165065. %Y A165066 In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A008615 (base 3), A165027 (base 4), A008617 (base 5), A008722 (base 7, conjecturally), A165105 (base 8), A165125 (base 9), A164733 (base 10). %K A165066 base,nonn %O A165066 1,6 %A A165066 _Joseph Myers_, Sep 04 2009