A267994 Number of nX3 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

64, 4096, 262144, 15625000, 895841344, 49592666024, 2667113508032, 139935778112213, 7186822291592000, 362265820143636032, 17961591171915325376, 877543597755135835875, 42310735131943068552000

Offset

1,1

Comments

Column 3 of A267997.

Links

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

Formula

Empirical: a(n) = 330*a(n-1) -47905*a(n-2) +3985410*a(n-3) -206365510*a(n-4) +6672680586*a(n-5) -122373303195*a(n-6) +709491272490*a(n-7) +15464097908610*a(n-8) -236876565993210*a(n-9) -1206133937807799*a(n-10) +27079181195038830*a(n-11) +171391641827053440*a(n-12) -1253840968846296270*a(n-13) -18429459866602517535*a(n-14) -90975948325330554486*a(n-15) -221637111204593414265*a(n-16) -212469703253098253820*a(n-17) +162642616721395317650*a(n-18) +441153094911335071980*a(n-19) -61384992726492316804*a(n-20) -441153094911335071980*a(n-21) +162642616721395317650*a(n-22) +212469703253098253820*a(n-23) -221637111204593414265*a(n-24) +90975948325330554486*a(n-25) -18429459866602517535*a(n-26) +1253840968846296270*a(n-27) +171391641827053440*a(n-28) -27079181195038830*a(n-29) -1206133937807799*a(n-30) +236876565993210*a(n-31) +15464097908610*a(n-32) -709491272490*a(n-33) -122373303195*a(n-34) -6672680586*a(n-35) -206365510*a(n-36) -3985410*a(n-37) -47905*a(n-38) -330*a(n-39) -a(n-40)

Example

Some solutions for n=2
..1..3..0....1..3..3....0..1..1....0..3..2....2..3..2....2..2..3....1..2..3
..1..2..0....2..1..3....0..2..0....0..3..1....1..0..3....0..2..0....3..1..1

Crossrefs

Cf. A267997.

Sequence in context: A267971 A229102 A222934 * A089357 A144320 A324493

Adjacent sequences: A267991 A267992 A267993 * A267995 A267996 A267997

Keyword

nonn

Author

R. H. Hardin, Jan 24 2016

Status

approved