cp's OEIS Frontend

A264015 Number of (n+1) X (6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 1,2 or 2,2.

%I A264015 #10 Jan 03 2019 17:44:35
%S A264015 32,1869,146410,7320500,398967250,21860843125,1201888840625,
%T A264015 66099082156250,3635200164062500,199922408907031250,
%U A264015 10994987257267578125,604683325796494140625,33255329542371191406250,1828919197622934570312500
%N A264015 Number of (n+1) X (6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 1,2 or 2,2.
%H A264015 R. H. Hardin, <a href="/A264015/b264015.txt">Table of n, a(n) for n = 1..210</a>
%F A264015 Empirical: a(n) = 60*a(n-1) - 300*a(n-2) + 1500*a(n-3) - 7500*a(n-4) + 3125*a(n-5) for n>7.
%F A264015 Empirical g.f.: x*(32 - 51*x + 43870*x^2 - 951400*x^3 + 1096750*x^4 - 86739375*x^5 + 39912500*x^6) / ((1 - 5*x)*(1 - 55*x + 25*x^2 - 1375*x^3 + 625*x^4)). - _Colin Barker_, Jan 03 2019
%e A264015 Some solutions for n=3:
%e A264015 ..9..1.11.12.13..5..6....0..1..2..3.20..5..6....9.10.18.19..4..5..6
%e A264015 ..7.24..0.19.27..3..4...16..8.25.19.11.12.13....7.24..0.26.27.12.13
%e A264015 .23.15.16.26..2.10.20...23.15..7.26.18.10..4...23.15.25..1..2..3.20
%e A264015 .21.22.14..8.25.17.18...21.22.14.24..9.17.27...21.22.14..8.16.17.11
%Y A264015 Column 6 of A264017.
%K A264015 nonn
%O A264015 1,1
%A A264015 _R. H. Hardin_, Nov 01 2015