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A269767 T(n,k)=Number of nXk 0..5 arrays with some element plus some horizontally or vertically adjacent neighbor totalling five exactly once. 9
0, 6, 6, 60, 480, 60, 450, 17520, 17520, 450, 3000, 524160, 2624640, 524160, 3000, 18750, 14288400, 326697720, 326697720, 14288400, 18750, 112500, 368958240, 37212131520, 170119348800, 37212131520, 368958240, 112500, 656250, 9195061680 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.....0.........6............60...............450..................3000

.....6.......480.........17520............524160..............14288400

....60.....17520.......2624640.........326697720...........37212131520

...450....524160.....326697720......170119348800........81208264293720

..3000..14288400...37212131520....81208264293720....162622227315688800

.18750.368958240.4022791852800.36821411380183680.309460647800786666280

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 10*a(n-1) -25*a(n-2)

k=2: a(n) = 42*a(n-1) -441*a(n-2) for n>3

k=3: a(n) = 184*a(n-1) -9134*a(n-2) +61640*a(n-3) -112225*a(n-4) for n>5

k=4: [order 6] for n>7

k=5: [order 14] for n>15

k=6: [order 26] for n>27

k=7: [order 64] for n>65

EXAMPLE

Some solutions for n=2 k=4

..0..5..3..4. .0..0..2..1. .3..5..1..2. .0..0..5..2. .3..1..2..4

..0..2..5..4. .1..2..4..4. .3..3..0..5. .0..2..2..0. .3..2..2..0

CROSSREFS

Sequence in context: A074949 A078290 A269888 * A065239 A146892 A320824

Adjacent sequences:  A269764 A269765 A269766 * A269768 A269769 A269770

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 04 2016

STATUS

approved

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Last modified January 27 01:45 EST 2021. Contains 340443 sequences. (Running on oeis4.)