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A275397 Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2. 1
14, 324, 444, 1011, 2404, 8122, 27373, 94065, 323306, 1109170, 3808690, 13056118, 44831206, 154016128, 529240302, 1819237762, 6248275627, 21463735564, 73700124392, 253141996437, 869508060107, 2987025162013, 10261553235393 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A275401.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -8*a(n-2) -103*a(n-3) +300*a(n-4) +490*a(n-5) -3088*a(n-6) +729*a(n-7) +15630*a(n-8) -17249*a(n-9) -43708*a(n-10) +76246*a(n-11) +72849*a(n-12) -154108*a(n-13) -140650*a(n-14) +150868*a(n-15) +459072*a(n-16) -68123*a(n-17) -1257353*a(n-18) +287606*a(n-19) +1776435*a(n-20) +89259*a(n-21) -3152687*a(n-22) +1585958*a(n-23) +2120249*a(n-24) -5693936*a(n-25) +8738939*a(n-26) -2087559*a(n-27) -14377928*a(n-28) +19318593*a(n-29) -4920957*a(n-30) -10078471*a(n-31) +14579538*a(n-32) -11939970*a(n-33) +3348781*a(n-34) +6751098*a(n-35) -9831957*a(n-36) +5660046*a(n-37) -420212*a(n-38) -1779949*a(n-39) +989592*a(n-40) -102542*a(n-41) +603187*a(n-42) -1100852*a(n-43) +634094*a(n-44) +123594*a(n-45) -502838*a(n-46) +404369*a(n-47) -101943*a(n-48) -68068*a(n-49) +76892*a(n-50) -37448*a(n-51) +7233*a(n-52) +7592*a(n-53) -6103*a(n-54) +4317*a(n-55) -1620*a(n-56) -31*a(n-57) +504*a(n-58) -240*a(n-59) -9*a(n-60) +56*a(n-61) -51*a(n-62) +19*a(n-63) -7*a(n-64) +a(n-65) for n>69

EXAMPLE

Some solutions for n=4

..0..0..1..1. .0..0..0..0. .0..1..1..1. .0..1..2..2. .0..0..0..1

..2..2..0..0. .1..1..2..2. .2..0..0..0. .2..0..0..1. .2..1..2..0

..1..2..2..0. .2..1..1..1. .1..2..2..0. .2..2..0..1. .2..1..1..2

..1..0..1..2. .2..0..0..1. .0..1..2..2. .1..1..2..2. .0..0..0..1

CROSSREFS

Cf. A275401.

Sequence in context: A035018 A264177 A275500 * A275262 A241373 A090598

Adjacent sequences:  A275394 A275395 A275396 * A275398 A275399 A275400

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 26 2016

STATUS

approved

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Last modified August 19 16:39 EDT 2022. Contains 356229 sequences. (Running on oeis4.)