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 A164736 #9 Jun 02 2025 01:52:33 %S A164736 0,0,0,0,0,0,0,0,0,0,1,0,3,0,5,0,6,0,6,1,6,3,6,5,6,6,6,6,7,6,9,6,11,6, %T A164736 12,6,12,7,12,9,12,11,12,12,12,12,13,12,15,12,17,12,18,12,18,13,18,15, %U A164736 18,17,18,18,18,18,19,18,21,18,23,18,24,18,24,19,24,21,24,23,24,24,24 %N A164736 Number of n-digit cycles of length 5 under the Kaprekar map A151949. %H A164736 Joseph Myers, <a href="/A164736/b164736.txt">Table of n, a(n) for n=1..140</a> %H A164736 <a href="/index/K#Kaprekar_map">Index entries for the Kaprekar map</a> %F A164736 Conjectures from _Chai Wah Wu_, Apr 13 2024: (Start) %F A164736 a(n) = a(n-1) + a(n-2) - 2*a(n-3) + a(n-4) + a(n-5) - 2*a(n-6) + a(n-7) + a(n-8) - a(n-9) for n > 15. %F A164736 G.f.: x^11*(x^2 + 1)*(x^2 - x + 1)/((x - 1)^2*(x + 1)*(x^6 + x^3 + 1)). (End) %Y A164736 Cf. A151949, A164727, A164728, A164731, A164732, A164733, A164734, A164735. %K A164736 base,nonn %O A164736 1,13 %A A164736 _Joseph Myers_, Aug 23 2009