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A264528 Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. 1

%I #5 Nov 17 2015 09:22:43

%S 1,4,4,19,49,100,316,766,1883,5221,12797,33376,86922,220743,573264,

%T 1477256,3792956,9804491,25237000,64989265,167646836,431649191,

%U 1112482352,2866999890,7385967351,19033926173,49045740426,126371267386

%N Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having directed index change -2,-2 -1,0 0,1 or 1,0.

%C Column 2 of A264534.

%H R. H. Hardin, <a href="/A264528/b264528.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-2) +6*a(n-3) -42*a(n-4) -40*a(n-5) +117*a(n-6) +143*a(n-7) -222*a(n-8) -266*a(n-9) +272*a(n-10) +266*a(n-11) -222*a(n-12) -143*a(n-13) +117*a(n-14) +40*a(n-15) -42*a(n-16) -6*a(n-17) +10*a(n-18) -a(n-20)

%e Some solutions for n=4

%e ..3..0..1....3..4..1....8..4..1....3..4..5....3..4..1....8..4..1....3..0..5

%e ..6..7..2....0..7..2....0..7..2....0..1..2....0..7..2....0..7..2....6..1..2

%e .14..4..5...14.10..5....3..6..5...14..6..7...14..6..5....3.10..5...14..4..7

%e .12.13..8....6.13..8...12.13.14...12.13..8...12.13..8....6.13.14...12.13..8

%e ..9.10.11....9.12.11....9.10.11....9.10.11....9.10.11....9.12.11....9.10.11

%Y Cf. A264534.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)