A212927 Number of n X 5 0..4 arrays with no column j greater than column j-1 in all rows.
126, 4431876, 23124921876, 85800824609376, 285912852294921876, 916111390974365234376, 2891333179750701904296876, 9071116924325493011474609376, 28391912978833403911590576171876
Offset: 1
Keywords
Examples
Some solutions for n=3 ..3..1..0..2..2....3..0..1..4..2....1..1..0..4..2....0..0..3..2..1 ..4..4..2..4..2....4..3..0..0..1....1..1..2..0..1....3..4..4..4..4 ..4..1..1..1..0....2..4..2..3..0....4..3..4..1..2....2..1..4..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Column 5 of A212930.
Formula
Empirical: a(n) = 5251*a(n-1) -7960875*a(n-2) +4411393125*a(n-3) -945536250000*a(n-4) +70667695312500*a(n-5) -1290429687500000*a(n-6) +1220703125000000*a(n-7).
Empirical: a(n) = -2*100^n-2*25^n-4*1250^n+3*500^n+3*250^n+3125^n+1. - R. J. Mathar, Jun 27 2012