A279802 Number of nX3 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 22, 740, 19376, 507986, 12910722, 323712032, 8013623436, 196400852184, 4773606700366, 115217934303248, 2764478696453498, 65990691037253840, 1568251660224288550, 37123381500487456052, 875734939465031708698

Offset

1,1

Comments

Column 3 of A279805.

Links

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

Formula

Empirical: a(n) = 44*a(n-1) -470*a(n-2) -356*a(n-3) +1443*a(n-4) -12204*a(n-5) +52388*a(n-6) +227364*a(n-7) -92500*a(n-8) +359704*a(n-9) -214436*a(n-10) -18541144*a(n-11) -27097896*a(n-12) +15057488*a(n-13) +4532384*a(n-14) +367526928*a(n-15) +1632126768*a(n-16) +1355405664*a(n-17) -2409646448*a(n-18) -8100510688*a(n-19) -22633097488*a(n-20) -40981890944*a(n-21) -7027056768*a(n-22) +151340134016*a(n-23) +338905381312*a(n-24) +195055954944*a(n-25) -390453793792*a(n-26) -857307838464*a(n-27) -533793509376*a(n-28) +337493164032*a(n-29) +725394309120*a(n-30) +310395666432*a(n-31) -190193598464*a(n-32) -188853780480*a(n-33) -15603859456*a(n-34) +30324817920*a(n-35) -3774873600*a(n-36) for n>37

Example

Some solutions for n=4
..0..0..1. .0..1..2. .0..1..1. .0..1..1. .0..1..0. .0..1..0. .0..0..1
..2..1..1. .0..2..0. .2..1..2. .1..2..1. .2..1..1. .0..1..1. .2..2..1
..2..2..2. .0..2..1. .0..2..0. .2..0..2. .0..0..0. .1..1..0. .2..1..1
..0..2..0. .2..2..1. .1..0..2. .1..1..2. .0..2..0. .2..0..2. .0..2..0

Crossrefs

Cf. A279805.

Sequence in context: A220732 A333796 A132568 * A015210 A152558 A202947

Adjacent sequences: A279799 A279800 A279801 * A279803 A279804 A279805

Keyword

nonn

Author

R. H. Hardin, Dec 19 2016

Status

approved