A276296 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.

8, 108, 693, 5909, 50949, 442001, 3861469, 33851605, 297360321, 2615328377, 23018938257, 202689194753, 1785196757685, 15725574011217, 138536812455865, 1220524306616877, 10753280301953245, 94742171002825549, 834738246801591597

Offset

1,1

Comments

Column 5 of A276299.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -59*a(n-2) +88*a(n-3) -753*a(n-4) +3144*a(n-5) -3566*a(n-6) +15470*a(n-7) -60036*a(n-8) +63424*a(n-9) -166302*a(n-10) +522272*a(n-11) -496170*a(n-12) +872844*a(n-13) -2184470*a(n-14) +1728684*a(n-15) -2023510*a(n-16) +4274276*a(n-17) -2552010*a(n-18) +1711922*a(n-19) -3752238*a(n-20) +1631282*a(n-21) -390844*a(n-22) +1591096*a(n-23) -522438*a(n-24) -63580*a(n-25) -336430*a(n-26) +92712*a(n-27) +24271*a(n-28) +31601*a(n-29) -8451*a(n-30) -1540*a(n-31) -993*a(n-32) +290*a(n-33) for n>37

Example

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

Crossrefs

Cf. A276299.

Sequence in context: A099762 A246498 A119936 * A164749 A264487 A048543

Adjacent sequences: A276293 A276294 A276295 * A276297 A276298 A276299

Keyword

nonn

Author

R. H. Hardin, Aug 28 2016

Status

approved