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A204417 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically, exactly one way 9
3570, 34274, 34274, 423416, 154938, 423416, 2827014, 781884, 781884, 2827014, 22956524, 5597126, 947990, 5597126, 22956524, 254913953, 52039032, 5776350, 5776350, 52039032, 254913953, 2004465237, 395943745, 49914501, 11785518 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........3570.......34274......423416.....2827014....22956524....254913953

.......34274......154938......781884.....5597126....52039032....395943745

......423416......781884......947990.....5776350....49914501....422397021

.....2827014.....5597126.....5776350....11785518....89459577...1122887052

....22956524....52039032....49914501....89459577...253954944...1364559057

...254913953...395943745...422397021..1122887052..1364559057...2050960896

..2004465237..2826265830..3619976949..6016853259..8802512928..13168291392

.15823989959.26252359826.29207652750.53009843553.94119917760.115434720000

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..924

FORMULA

Empirical for column k:

k=1: (order 14 recurrence)

k=2: (order 19 recurrence for n>22)

k=3: a(n) = 577*a(n-3) +63*a(n-5) -63*a(n-8) for n>16

k=4: a(n) = 577*a(n-3) for n>15

k=5: a(n) = 577*a(n-3) for n>16

k=6: a(n) = 577*a(n-3) for n>17

k=7: a(n) = 577*a(n-3) for n>18

EXAMPLE

Some solutions for n=3 k=3

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

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

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

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

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

CROSSREFS

Sequence in context: A204599 A206090 A071144 * A204410 A204409 A152217

Adjacent sequences:  A204414 A204415 A204416 * A204418 A204419 A204420

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 15 2012

STATUS

approved

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Last modified September 17 04:58 EDT 2019. Contains 327119 sequences. (Running on oeis4.)