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 A165105 #9 Jun 02 2025 02:02:22 %S A165105 1,1,1,0,0,2,1,1,1,1,0,4,0,4,2,2,2,4,2,3,6,5,2,7,2,6,5,10,5,8,5,8,7,9, %T A165105 11,12,7,11,9,12,9,21,10,14,12,15,13,18,20,18,15,20,15,23,16,30,20,23, %U A165105 20,26,21,27,32,29,23,32,25,32,28,43 %N A165105 Number of n-digit fixed points under the base-8 Kaprekar map A165090. %H A165105 <a href="/index/K#Kaprekar_map">Index entries for the Kaprekar map</a> %F A165105 Conjectures from _Chai Wah Wu_, Apr 13 2024: (Start) %F A165105 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 A165105 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 A165105 Cf. A165090, A165094, A165103, A165104. %Y A165105 In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A008615 (base 3), A165027 (base 4), A008617 (base 5), A165066 (base 6), A008722 (base 7, conjecturally), A165125 (base 9), A164733 (base 10). %K A165105 base,nonn %O A165105 1,6 %A A165105 _Joseph Myers_, Sep 04 2009