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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
1, 5, 36, 415, 4671, 56166, 670557, 8072717, 97173041, 1170969462, 14111914833, 170097581606, 2050330377649, 24715024472666, 297921231662672, 3591235154634312, 43289931960764780, 521831530519684654 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 3 of A241349
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 19 2014
STATUS
approved

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Last modified February 22 21:30 EST 2024. Contains 370265 sequences. (Running on oeis4.)