A298457 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

0, 6, 30, 219, 2013, 17443, 158594, 1441287, 13145287, 120045930, 1096641326, 10020505046, 91567796475, 836780632957, 7646916779234, 69881717942041, 638619004480617, 5836070553261507, 53333416849369472, 487391957394071310

Offset

1,2

Comments

Column 4 of A298461.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +40*a(n-2) -123*a(n-3) -680*a(n-4) +347*a(n-5) +4732*a(n-6) +2213*a(n-7) -12148*a(n-8) -9856*a(n-9) +13303*a(n-10) +9511*a(n-11) -16969*a(n-12) -15182*a(n-13) +4983*a(n-14) -83456*a(n-15) +656*a(n-16) +68*a(n-17) +84770*a(n-18) -229109*a(n-19) +383194*a(n-20) -225637*a(n-21) -22337*a(n-22) +333076*a(n-23) -535303*a(n-24) +416644*a(n-25) -342719*a(n-26) +207071*a(n-27) -34879*a(n-28) -18892*a(n-29) +22620*a(n-30) -25205*a(n-31) +25909*a(n-32) -15562*a(n-33) +8687*a(n-34) -6879*a(n-35) +3110*a(n-36) -492*a(n-37) for n>38

Example

Some solutions for n=7
..0..0..1..1. .0..0..1..1. .0..0..0..1. .0..0..1..1. .0..0..0..1
..0..0..1..0. .0..1..0..1. .0..0..1..1. .1..0..0..1. .0..0..1..1
..0..1..0..0. .1..0..1..1. .0..1..0..1. .1..1..0..1. .1..1..0..1
..1..1..1..1. .1..1..1..1. .1..1..1..0. .1..0..1..1. .1..0..0..1
..0..0..1..1. .0..1..1..0. .0..1..0..0. .0..1..0..0. .1..1..0..1
..0..0..1..1. .0..0..0..0. .0..0..1..1. .0..0..1..0. .0..1..1..1
..0..1..1..1. .0..0..0..0. .0..0..0..1. .0..0..1..1. .0..0..1..1

Crossrefs

Cf. A298461.

Sequence in context: A073087 A214822 A295497 * A208942 A209070 A259820

Adjacent sequences: A298454 A298455 A298456 * A298458 A298459 A298460

Keyword

nonn

Author

R. H. Hardin, Jan 19 2018

Status

approved