cp's OEIS Frontend

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.

A245160 Number of length n 0..5 arrays with new values introduced in order from both ends.

This page as a plain text file.
%I A245160 #8 Nov 03 2018 12:09:47
%S A245160 1,1,2,4,9,23,65,199,654,2296,8569,33825,140580,612890,2794159,
%T A245160 13280627,65597882,335521900,1770176005,9593485125,53183385680,
%U A245160 300371056446,1721926382427,9987133305239,58446578859494,344361988828048
%N A245160 Number of length n 0..5 arrays with new values introduced in order from both ends.
%H A245160 R. H. Hardin, <a href="/A245160/b245160.txt">Table of n, a(n) for n = 1..210</a>
%F A245160 Empirical: a(n) = 26*a(n-1) - 290*a(n-2) + 1820*a(n-3) - 7073*a(n-4) + 17618*a(n-5) - 28060*a(n-6) + 27480*a(n-7) - 14976*a(n-8) + 3456*a(n-9) for n>10.
%F A245160 Empirical g.f.: x*(1 - 25*x + 266*x^2 - 1578*x^3 + 5738*x^4 - 13236*x^5 + 19385*x^6 - 17565*x^7 + 9271*x^8 - 2381*x^9) / ((1 - x)^2*(1 - 2*x)^2*(1 - 3*x)^2*(1 - 4*x)^2*(1 - 6*x)). - _Colin Barker_, Nov 03 2018
%e A245160 Some solutions for n=7:
%e A245160 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A245160 ..0....1....1....1....1....1....1....1....0....1....0....1....1....1....1....0
%e A245160 ..1....2....1....0....0....0....0....0....1....2....1....0....0....2....1....1
%e A245160 ..0....2....0....0....2....1....0....1....2....2....2....0....1....2....2....2
%e A245160 ..2....2....0....0....0....0....0....0....0....0....1....1....1....1....2....2
%e A245160 ..1....1....1....0....1....1....1....0....1....1....0....0....0....0....1....1
%e A245160 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%Y A245160 Column 5 of A245163.
%K A245160 nonn
%O A245160 1,3
%A A245160 _R. H. Hardin_, Jul 12 2014