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A234796 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with each 2X2 subblock having the number of clockwise edge increases less than or equal to the number of counterclockwise edge increases 8
204, 2504, 2504, 30536, 88072, 30536, 371976, 3015344, 3015344, 371976, 4530424, 102517088, 280996212, 102517088, 4530424, 55175944, 3479085232, 25695321008, 25695321008, 3479085232, 55175944, 671983416, 118012659040, 2334950105532 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......204.........2504...........30536.............371976...............4530424

.....2504........88072.........3015344..........102517088............3479085232

....30536......3015344.......280996212........25695321008.........2334950105532

...371976....102517088.....25695321008......6215062828960......1482624037868512

..4530424...3479085232...2334950105532...1482624037868512....919194890082815688

.55175944.118012659040.211733037460400.351765183794721104.563911503226583454576

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: a(n) = 15*a(n-1) -36*a(n-2) +20*a(n-3)

k=2: a(n) = 47*a(n-1) -485*a(n-2) +1429*a(n-3) -1056*a(n-4) +208*a(n-5) -40*a(n-6)

k=3: [order 21]

k=4: [order 66]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A154518 A249285 A292346 * A234789 A099105 A253680

Adjacent sequences:  A234793 A234794 A234795 * A234797 A234798 A234799

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 30 2013

STATUS

approved

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Last modified October 16 18:08 EDT 2018. Contains 316271 sequences. (Running on oeis4.)