A298440 Number of nX4 0..1 arrays with every element equal to 0, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

1, 2, 2, 7, 34, 105, 406, 1504, 6183, 25013, 101678, 415769, 1698260, 6946900, 28410788, 116224736, 475473836, 1945191906, 7958073544, 32557752952, 133199605252, 544944086735, 2229468097859, 9121174931420, 37316452728280

Offset

1,2

Comments

Column 4 of A298444.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +13*a(n-2) -2*a(n-3) -57*a(n-4) -59*a(n-5) +28*a(n-6) +171*a(n-7) +322*a(n-8) +29*a(n-9) -543*a(n-10) -351*a(n-11) +68*a(n-12) +8*a(n-13) +144*a(n-14) -37*a(n-15) -667*a(n-16) +38*a(n-17) +1412*a(n-18) +1080*a(n-19) +61*a(n-20) -156*a(n-21) -466*a(n-22) -864*a(n-23) -471*a(n-24) -21*a(n-25) -4*a(n-26) +67*a(n-27) +91*a(n-28) -12*a(n-29) -43*a(n-30) +16*a(n-31) +6*a(n-32) -13*a(n-33) +3*a(n-34) for n>36

Example

Some solutions for n=5
..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1
..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..1..1
..0..1..1..0. .0..1..1..1. .0..0..1..1. .1..1..1..1. .0..0..1..0
..0..0..1..1. .0..0..1..1. .0..0..1..1. .1..1..0..0. .0..0..1..1
..0..0..1..1. .0..0..1..1. .0..0..1..1. .1..1..0..0. .0..0..1..1

Crossrefs

Cf. A298444.

Sequence in context: A240978 A242032 A350019 * A317808 A326909 A343260

Adjacent sequences: A298437 A298438 A298439 * A298441 A298442 A298443

Keyword

nonn

Author

R. H. Hardin, Jan 19 2018

Status

approved