A241346 Number of nX3 0..3 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..3 introduced in row major order

1, 5, 36, 415, 4671, 56166, 670557, 8072717, 97173041, 1170969462, 14111914833, 170097581606, 2050330377649, 24715024472666, 297921231662672, 3591235154634312, 43289931960764780, 521831530519684654

Offset

1,2

Comments

Column 3 of A241349

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +2*a(n-2) -304*a(n-3) -109*a(n-4) -120*a(n-5) +11665*a(n-6) +16834*a(n-7) -110416*a(n-8) +63506*a(n-9) -74013*a(n-10) +40580*a(n-11) -136787*a(n-12) -1488012*a(n-13) +9916298*a(n-14) -7619862*a(n-15) -2854623*a(n-16) +3890412*a(n-17) -49074293*a(n-18) +58902968*a(n-19) +35481948*a(n-20) -32206512*a(n-21) -20827271*a(n-22) +37759024*a(n-23) +63418073*a(n-24) -317101342*a(n-25) -37632842*a(n-26) +275998336*a(n-27) +155422933*a(n-28) -148426616*a(n-29) -445805769*a(n-30) -69698722*a(n-31) +227493784*a(n-32) +602975134*a(n-33) +162334197*a(n-34) -397623252*a(n-35) +185512491*a(n-36) +854472780*a(n-37) +675012366*a(n-38) -242801226*a(n-39) -302098329*a(n-40) +152941284*a(n-41) +99707517*a(n-42) -219662280*a(n-43) -390431988*a(n-44) -229582512*a(n-45) -43046721*a(n-46) for n>47

Example

Some solutions for n=4
..0..0..1....0..1..2....0..1..0....0..1..0....0..0..0....0..1..1....0..0..0
..2..2..1....0..1..2....0..1..0....0..1..0....1..1..1....0..0..0....1..1..2
..1..0..0....1..0..3....0..2..2....2..0..2....2..2..3....0..2..2....3..3..2
..1..2..2....1..0..3....0..3..3....2..0..2....0..0..3....0..3..3....0..0..2

Crossrefs

Sequence in context: A230887 A365356 A194958 * A132686 A322180 A351019

Adjacent sequences: A241343 A241344 A241345 * A241347 A241348 A241349

Keyword

nonn

Author

R. H. Hardin, Apr 19 2014

Status

approved