A252032 - OEIS

A252032

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 or 4

213, 227, 227, 357, 323, 357, 809, 781, 781, 809, 1805, 1929, 2206, 1929, 1805, 4259, 5285, 7182, 7182, 5285, 4259, 10251, 14831, 24664, 29781, 24664, 14831, 10251, 24331, 41745, 85199, 126920, 126920, 85199, 41745, 24331, 57385, 117867, 295050

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OFFSET

1,1

COMMENTS

Table starts

....213....227......357.......809.......1805........4259........10251

....227....323......781......1929.......5285.......14831........41745

....357....781.....2206......7182......24664.......85199.......295050

....809...1929.....7182.....29781.....126920......541544......2306234

...1805...5285....24664....126920.....672903.....3560831.....18791972

...4259..14831....85199....541544....3560831....23454804....153768348

..10251..41745...295050...2306234...18791972...153768348...1251157837

..24331.117867..1022761...9836361...99214423..1007751301..10174456397

..57385.332997..3550805..42007667..524431707..6615116021..82884616652

.135913.941237.12331430.179412369.2773560231.43445771467.675475186716

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..311

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 11] for n>14

k=2: [order 14] for n>18

k=3: [order 29] for n>33

k=4: [order 46] for n>50

k=5: [order 83] for n>88

EXAMPLE

Some solutions for n=4 k=4

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

..1..2..2..2..1..2....2..2..2..2..1..2....2..2..2..2..2..2....2..2..2..2..2..2

..2..2..2..2..2..1....2..2..2..2..2..1....1..2..2..2..2..2....2..2..1..2..2..2

..2..2..2..2..2..2....2..2..2..2..2..2....2..2..1..2..2..2....2..2..2..2..2..1

..2..1..2..2..2..2....1..2..2..2..1..2....2..2..2..2..2..2....2..1..2..2..2..2

..2..2..2..1..2..2....2..2..1..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2

CROSSREFS

Sequence in context: A138568 A201104 A092126 * A252025 A238019 A251146

Adjacent sequences: A252029 A252030 A252031 * A252033 A252034 A252035

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 12 2014

STATUS

approved