A198979 Number of nX5 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor.
15, 8731, 12662226, 19622872903, 30525244435834, 47495195899845037, 73900197917712351603, 114985169155743145765664, 178911424288565716160545667, 278377620790460864731769016202
Offset: 1
Keywords
Examples
Some solutions with all values from 0 to 5 for n=4 ..0..1..0..2..3....0..1..2..3..4....0..1..2..1..0....0..1..2..3..2 ..1..0..1..4..2....1..0..1..4..1....1..0..1..2..3....1..0..1..0..3 ..0..3..0..3..1....0..3..0..3..0....0..3..0..1..2....0..3..0..4..0 ..3..0..4..0..5....3..0..4..1..5....3..0..4..5..1....3..0..3..2..5
Links
- R. H. Hardin, Table of n, a(n) for n = 1..118
Formula
Empirical: a(n) = 1919*a(n-1) -618345*a(n-2) +87289985*a(n-3) -6569574565*a(n-4) +278610016111*a(n-5) -6494675901838*a(n-6) +68671059116490*a(n-7) +172591767439289*a(n-8) -13348281831215275*a(n-9) +160607442902203491*a(n-10) -980646097424848279*a(n-11) +3301315800351613573*a(n-12) -5146582047324378787*a(n-13) -2530332306059747340*a(n-14) +26669206285409451180*a(n-15) -51683930686978851864*a(n-16) +51325265833875086656*a(n-17) -28242314477005082400*a(n-18) +8055054564912000000*a(n-19) -914531071104000000*a(n-20)
Comments