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 A212941 Number of n X 6 0..5 arrays with no column j greater than or equal to than column j-1 in all rows. 1

%I #8 Apr 17 2022 21:53:33

%S 1,152747323,28744943858947,2438624218076957695,

%T 153322267564381742818531,8389667096561737605103329223,

%U 427593510370812774462812710051387,20973117493971065058428815227499445215

%N Number of n X 6 0..5 arrays with no column j greater than or equal to than column j-1 in all rows.

%C Column 6 of A212943.

%H R. H. Hardin, <a href="/A212941/b212941.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 130453*a(n-1) -6763333836*a(n-2) +185208872760324*a(n-3) -2991440828618168976*a(n-4) +29966228467174160130816*a(n-5) -189618846625740940674481152*a(n-6) +754213725094693350993932353536*a(n-7) -1831929539263722316502211827073024*a(n-8) +2545588680910314328406052486644760576*a(n-9) -1758206800538810904218951296840095498240*a(n-10) +418951577236630476027552063815969641857024*a(n-11).

%F Empirical: a(n) = 6*15876^n -3*4536^n +2*1512^n +3136^n -5*27216^n -462^n -6*7056^n -9261^n +4*12096^n +2*2646^n +46656^n. - _R. J. Mathar_, Jun 27 2012

%e Some solutions for n=4

%e ..5..2..2..5..4..1....5..2..4..4..2..0....5..4..2..3..0..4....5..3..3..4..1..5

%e ..0..1..4..4..1..4....0..5..4..0..2..1....3..5..3..1..5..3....3..1..2..1..5..5

%e ..3..1..2..2..4..5....3..2..0..2..4..2....4..0..0..2..1..1....0..3..0..5..5..0

%e ..0..4..1..0..5..3....5..3..5..0..4..3....5..3..0..4..5..2....0..4..3..1..4..2

%Y Cf. A212943.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 31 2012

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Last modified November 30 05:42 EST 2023. Contains 367454 sequences. (Running on oeis4.)