A281030 Number of nX4 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 12, 532, 2324, 9854, 38972, 146606, 533340, 1896352, 6625144, 22832024, 77840640, 263040538, 882310796, 2941006434, 9750587480, 32176182992, 105744971236, 346270006718, 1130247359072, 3678591411860, 11941616925216

Offset

1,2

Comments

Column 4 of A281034.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -39*a(n-2) +78*a(n-3) -89*a(n-4) +54*a(n-5) -22*a(n-6) -4*a(n-7) +304*a(n-8) -652*a(n-9) +443*a(n-10) -260*a(n-11) +444*a(n-12) -984*a(n-13) -873*a(n-14) +2792*a(n-15) +2111*a(n-16) +242*a(n-17) -6406*a(n-18) -2428*a(n-19) +3125*a(n-20) +5296*a(n-21) -369*a(n-22) -4222*a(n-23) -495*a(n-24) +2584*a(n-25) +1365*a(n-26) -1718*a(n-27) -1206*a(n-28) +628*a(n-29) +611*a(n-30) -180*a(n-31) -296*a(n-32) +80*a(n-33) +108*a(n-34) -16*a(n-35) -16*a(n-36) for n>41

Example

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

Crossrefs

Cf. A281034.

Sequence in context: A004801 A202079 A296685 * A282589 A067733 A353194

Adjacent sequences: A281027 A281028 A281029 * A281031 A281032 A281033

Keyword

nonn

Author

R. H. Hardin, Jan 13 2017

Status

approved