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A264139 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-2 or 1,1. 1

%I #6 Nov 10 2015 11:15:24

%S 125,3600,168948,7001316,302693857,12968882161,557669432592,

%T 23961367651225,1029830209986505,44257860256772484,

%U 1902064324279323060,81744371899738736400,3513106985623904477549,150981837422000537407225

%N Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

%C Column 5 of A264142.

%H R. H. Hardin, <a href="/A264139/b264139.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 43*a(n-1) -a(n-2) +3413255*a(n-6) -146769965*a(n-7) +3413255*a(n-8) -6304281985*a(n-12) +271084125355*a(n-13) -6304281985*a(n-14) +6304281985*a(n-18) -271084125355*a(n-19) +6304281985*a(n-20) -3413255*a(n-24) +146769965*a(n-25) -3413255*a(n-26) +a(n-30) -43*a(n-31) +a(n-32)

%e Some solutions for n=3

%e ..7..1..9.10..4..5....0..8..2..3.11..5....0..1..6.10..4..9....0..1..9..7..4..5

%e ..2..0.15.13..3.11....6..7..1..9.10..4....2..3.15..5.14.11...13..3.12..2.10.11

%e .12..6.14..8.23.17...12.13.18.19.23.21....8.13..7.19.16.17....8..6.18.15.23.17

%e .18.19.20.21.22.16...14.15.20.17.22.16...18.12.20.21.22.23...14.19.20.21.22.16

%Y Cf. A264142.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 04 2015

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Last modified August 14 09:16 EDT 2024. Contains 375159 sequences. (Running on oeis4.)