login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269194 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once. 8
4, 16, 16, 60, 108, 60, 216, 708, 708, 216, 756, 4476, 9284, 4476, 756, 2592, 27684, 115452, 115452, 27684, 2592, 8748, 168252, 1399612, 2817548, 1399612, 168252, 8748, 29160, 1008804, 16629436, 67134380, 67134380, 16629436, 1008804, 29160 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......4........16...........60.............216................756

.....16.......108..........708............4476..............27684

.....60.......708.........9284..........115452............1399612

....216......4476.......115452.........2817548...........67134380

....756.....27684......1399612........67134380.........3159954052

...2592....168252.....16629436......1567933676.......145995171708

...8748...1008804....194596516.....36068275268......6648192704604

..29160...5983164...2249848972....819789099172....299224791093196

..96228..35170980..25758552060..18452018423420..13339889117822420

.314928.205214268.292530733516.411983259384452.590022908205332548

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -9*a(n-2)

k=2: a(n) = 10*a(n-1) -21*a(n-2) -20*a(n-3) -4*a(n-4) for n>5

k=3: [order 8] for n>9

k=4: [order 16] for n>17

k=5: [order 40] for n>41

EXAMPLE

Some solutions for n=3 k=4

..0..1..1..3. .0..0..2..2. .2..3..1..3. .1..3..1..1. .2..3..2..1

..0..1..3..1. .2..0..0..2. .2..3..1..3. .1..1..1..3. .2..2..3..3

..1..3..1..1. .2..0..2..0. .3..3..1..0. .0..3..1..3. .3..2..3..2

CROSSREFS

Column 1 is A120926(n+1).

Sequence in context: A207283 A207479 A207535 * A269143 A269109 A269201

Adjacent sequences:  A269191 A269192 A269193 * A269195 A269196 A269197

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 20 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 25 22:55 EST 2020. Contains 332270 sequences. (Running on oeis4.)