A183618 1/120 the number of (n+1)X6 0..4 arrays with every 2X2 subblock containing four distinct values

1296, 47232, 1724208, 63632480, 2359936032, 87799260864, 3272704747696, 122134207285776, 4561306247863968, 170428892494433936, 6369781649728701632, 238114726786385137216, 8902229052360165467456, 332846038306400232577680

Offset

1,1

Comments

Column 5 of A183622

Links

R. H. Hardin, Table of n, a(n) for n = 1..117

Formula

Empirical: a(n)=92*a(n-1)-2769*a(n-2)+19097*a(n-3)+534223*a(n-4)-8915848*a(n-5)-14532917*a(n-6)+998191773*a(n-7)-2611966788*a(n-8)-51449338066*a(n-9)+231198147056*a(n-10)+1406441056076*a(n-11)-8204711290320*a(n-12)-21109072774352*a(n-13)+155023513470064*a(n-14)+167202954342112*a(n-15)-1674238113292864*a(n-16)-580458657827072*a(n-17)+10512123735083264*a(n-18)+10890922449920*a(n-19)-38125660997246976*a(n-20)+4267925980299264*a(n-21)+77807083856330752*a(n-22)-5924676800348160*a(n-23)-82973659436679168*a(n-24)-3951937821081600*a(n-25)+37832652278988800*a(n-26)+7208894300422144*a(n-27)-3638588918988800*a(n-28)-784913863278592*a(n-29)+26388279066624*a(n-30)

Example

Some solutions with the first square being 0123 for 3X6
..0..1..0..1..4..3....0..1..4..1..0..1....0..1..2..3..4..2....0..1..2..3..1..3
..2..3..4..3..2..1....2..3..2..3..2..3....2..3..4..1..0..3....2..3..4..0..2..0
..0..1..2..0..4..3....0..4..0..1..0..4....0..1..0..3..2..1....4..1..2..3..4..3

Crossrefs

Sequence in context: A017140 A152071 A223437 * A017236 A265478 A017344

Adjacent sequences: A183615 A183616 A183617 * A183619 A183620 A183621

Keyword

nonn

Author

R. H. Hardin Jan 06 2011

Status

approved