A183536 Number of nX2 0..3 arrays with each element equal to either the sum mod 4 of its horizontal and vertical neighbors or the sum mod 4 of its diagonal and antidiagonal neighbors

4, 16, 43, 128, 416, 1287, 3996, 12594, 39539, 123964, 390822, 1231115, 3878694, 12237024, 38612549, 121853840, 384703976, 1214725443, 3835937346, 12115116500, 38266545975, 120874923256, 381838415718, 1206261483091, 3810809904904

Offset

1,1

Comments

Column 2 of A183541

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=5*a(n-1)+3*a(n-2)-20*a(n-3)-88*a(n-4)+56*a(n-5)+531*a(n-6)+530*a(n-7)-1530*a(n-8)-4123*a(n-9)-750*a(n-10)+11451*a(n-11)+16890*a(n-12)-4861*a(n-13)-43240*a(n-14)-44432*a(n-15)+29396*a(n-16)+103950*a(n-17)+51683*a(n-18)-96473*a(n-19)-119394*a(n-20)+100330*a(n-21)+204492*a(n-22)-168766*a(n-23)-472266*a(n-24)-101730*a(n-25)+570963*a(n-26)+696382*a(n-27)-155331*a(n-28)-761225*a(n-29)-41580*a(n-30)+512100*a(n-31)+204792*a(n-32)-428106*a(n-33)-775382*a(n-34)+71500*a(n-35)+787132*a(n-36)+59480*a(n-37)-388992*a(n-38)-61056*a(n-39)+165888*a(n-40)

Example

Some solutions for 3X2
..1..3....0..0....0..0....2..0....0..0....3..3....3..2....2..0....0..2....2..3
..2..2....2..0....1..0....2..2....0..3....0..0....1..3....2..2....2..1....3..1
..1..3....0..2....0..1....2..0....3..0....1..1....0..3....0..2....1..2....3..0

Crossrefs

Sequence in context: A190090 A227012 A034131 * A320100 A161142 A259013

Adjacent sequences: A183533 A183534 A183535 * A183537 A183538 A183539

Keyword

nonn

Author

R. H. Hardin Jan 05 2011

Status

approved