A281984 Number of nX4 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 16, 1054, 10852, 89414, 659508, 4668914, 31829068, 212313306, 1390961304, 8990391102, 57480380504, 364230866018, 2290913993840, 14318602051656, 89011203530620, 550745434116760, 3393694395607604, 20836217238789174

Offset

1,2

Comments

Column 4 of A281988.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +3*a(n-2) -230*a(n-3) +80*a(n-4) +2488*a(n-5) -1277*a(n-6) -13746*a(n-7) +9931*a(n-8) +36564*a(n-9) -52309*a(n-10) +2570*a(n-11) +138911*a(n-12) -283786*a(n-13) -88331*a(n-14) +748862*a(n-15) -440770*a(n-16) -668152*a(n-17) +1209908*a(n-18) -621290*a(n-19) -1274566*a(n-20) +2324798*a(n-21) +473875*a(n-22) -2873622*a(n-23) +195550*a(n-24) +2145954*a(n-25) -270880*a(n-26) -1105724*a(n-27) +103264*a(n-28) +393292*a(n-29) -40654*a(n-30) -186838*a(n-31) +13434*a(n-32) +120816*a(n-33) +110891*a(n-34) +7622*a(n-35) -76156*a(n-36) -30698*a(n-37) -8559*a(n-38) -23722*a(n-39) -14649*a(n-40) +14260*a(n-41) +11485*a(n-42) +9608*a(n-43) +3195*a(n-44) +2230*a(n-45) -1363*a(n-46) -1416*a(n-47) -1540*a(n-48) -714*a(n-49) -171*a(n-50) +162*a(n-51) +24*a(n-52) +54*a(n-53) +36*a(n-54) -9*a(n-56) for n>63

Example

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

Crossrefs

Cf. A281988.

Sequence in context: A195619 A348862 A029701 * A266066 A232571 A203096

Adjacent sequences: A281981 A281982 A281983 * A281985 A281986 A281987

Keyword

nonn

Author

R. H. Hardin, Feb 04 2017

Status

approved