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A269217 Number of 4Xn 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once. 1
0, 11424, 361728, 12548544, 394072704, 11985002256, 354189986208, 10261769266944, 292749231337728, 8250573640526208, 230241360762467712, 6372885696329678304, 175188945893347242144, 4787785430572600575216 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 4 of A269214.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 48*a(n-1) -424*a(n-2) -5664*a(n-3) +40624*a(n-4) +218356*a(n-5) -1300662*a(n-6) -2980700*a(n-7) +17916384*a(n-8) +2629424*a(n-9) -96328452*a(n-10) +132185980*a(n-11) -10936481*a(n-12) -91456900*a(n-13) +51588388*a(n-14) +9975760*a(n-15) -14279120*a(n-16) +2348160*a(n-17) +465152*a(n-18) -79872*a(n-19) -9216*a(n-20)

EXAMPLE

Some solutions for n=2

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

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

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

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

CROSSREFS

Cf. A269214.

Sequence in context: A262399 A115753 A257172 * A154064 A140922 A216363

Adjacent sequences:  A269214 A269215 A269216 * A269218 A269219 A269220

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 20 2016

STATUS

approved

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Last modified July 15 22:48 EDT 2019. Contains 325061 sequences. (Running on oeis4.)