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A264362 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,0 0,2 1,0 or -1,-2. 1

%I

%S 78,1440,33408,730368,16066704,353333680,7767356736,170773835200,

%T 3754476071280,82543032602992,1814726100469488,39897129815403584,

%U 877146760653765696,19284254647180360880,423968366892038460336

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

%C Column 6 of A264364.

%H R. H. Hardin, <a href="/A264362/b264362.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) +59*a(n-2) -666*a(n-3) -3991*a(n-4) +12120*a(n-5) +20965*a(n-6) -129645*a(n-7) +341857*a(n-8) +5426883*a(n-9) -9160816*a(n-10) -3733596*a(n-11) +126453658*a(n-12) -417161571*a(n-13) +465368456*a(n-14) -225117075*a(n-15) -303829226*a(n-16) +844092492*a(n-17) -326894784*a(n-18) -180879696*a(n-19) +174340672*a(n-20) +47719872*a(n-21) +92096640*a(n-22) -47798016*a(n-23) +5112320*a(n-24) +15599616*a(n-25) +14057472*a(n-26) +6856704*a(n-27) +1646592*a(n-28) +294912*a(n-29) +32768*a(n-30)

%e Some solutions for n=3

%e ..9..1..2..3..4..5..6....0..1..2..3.13..5..4....0.10..2.12..4..3..6

%e ..0..8..7.10.11.12.13....7..8..9.10.11.12..6...16..1.18..8..9..5.11

%e .14.24.25.17.27.19.18...14.24.16.17.27.19.20....7.24.14.15.27.19.13

%e .21.15.16.22.23.26.20...21.15.23.22.18.26.25...21.22.23.17.25.26.20

%Y Cf. A264364.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 12 2015

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Last modified July 24 20:26 EDT 2021. Contains 346273 sequences. (Running on oeis4.)