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A274893
Number of nX6 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2.
1
16, 324, 200, 815, 3064, 12217, 48269, 191974, 767905, 3065418, 12266783, 49117667, 196547638, 787292648, 3152652324, 12625267314, 50570833189, 202532990424, 811204807382, 3249164512849, 13013594658959, 52124256901705
OFFSET
1,1
COMMENTS
Column 6 of A274895.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +32*a(n-2) -496*a(n-4) -285*a(n-5) +4881*a(n-6) +4147*a(n-7) -34777*a(n-8) -31747*a(n-9) +193564*a(n-10) +159250*a(n-11) -877342*a(n-12) -559729*a(n-13) +3305202*a(n-14) +1371918*a(n-15) -10462555*a(n-16) -2038881*a(n-17) +28064748*a(n-18) -2573*a(n-19) -64372540*a(n-20) +10287733*a(n-21) +127544223*a(n-22) -35738974*a(n-23) -220567144*a(n-24) +79285065*a(n-25) +335987479*a(n-26) -133564456*a(n-27) -453839772*a(n-28) +180266595*a(n-29) +545461852*a(n-30) -199009384*a(n-31) -583472166*a(n-32) +180690849*a(n-33) +554326040*a(n-34) -134105374*a(n-35) -466206332*a(n-36) +79652731*a(n-37) +345892063*a(n-38) -35882573*a(n-39) -225652263*a(n-40) +10312807*a(n-41) +129040364*a(n-42) -882*a(n-43) -64456638*a(n-44) -2039779*a(n-45) +27988146*a(n-46) +1372306*a(n-47) -10489437*a(n-48) -560497*a(n-49) +3358044*a(n-50) +159731*a(n-51) -905008*a(n-52) -31875*a(n-53) +201297*a(n-54) +4160*a(n-55) -35960*a(n-56) -285*a(n-57) +4960*a(n-58) -496*a(n-60) +a(n-61) +32*a(n-62) -a(n-64) for n>66
EXAMPLE
Some solutions for n=4
..0..1..2..0..2..0. .0..1..0..2..1..0. .0..1..0..1..2..1. .0..1..2..0..2..0
..0..1..0..1..2..1. .2..1..2..1..0..2. .1..2..0..1..0..1. .0..1..2..1..2..0
..1..2..0..2..0..1. .2..0..2..0..2..1. .1..2..1..2..0..2. .1..2..0..1..0..1
..2..0..1..2..0..2. .1..0..1..0..2..0. .2..0..1..0..1..2. .2..0..1..2..0..1
CROSSREFS
Cf. A274895.
Sequence in context: A165121 A224768 A159536 * A275135 A276297 A229456
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 10 2016
STATUS
approved