A267994 Number of n X 3 0..3 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, 2015771069416603573521000, 94997229578754633553983552, 4432665766312968214889001528
Offset: 1
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Column 3 of A267997.
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).