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.

14, 324, 444, 1011, 2404, 8122, 27373, 94065, 323306, 1109170, 3808690, 13056118, 44831206, 154016128, 529240302, 1819237762, 6248275627, 21463735564, 73700124392, 253141996437, 869508060107, 2987025162013, 10261553235393

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