A268260 Number of length-(n+1) 0..7 arrays with new repeated values introduced in sequential order starting with zero.

57, 407, 2907, 20771, 148468, 1061632, 7594224, 54345509, 389060724, 2786424182, 19964380499, 143102062257, 1026171833136, 7361751375225, 52836226761762, 379380311345241, 2725291071400498, 19586141747713834, 140826889434423348

Offset

1,1

Comments

Column 7 of A268261.

Links

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

Formula

Empirical: a(n) = 57*a(n-1) -1400*a(n-2) +19187*a(n-3) -157759*a(n-4) +765212*a(n-5) -1872339*a(n-6) +503475*a(n-7) +6299972*a(n-8) -2706851*a(n-9) -14207501*a(n-10) -11689832*a(n-11) -4172972*a(n-12) -680688*a(n-13) -40320*a(n-14)

Example

Some solutions for n=5
..6....7....3....1....6....4....1....5....1....2....7....0....5....5....1....4
..0....3....1....2....1....0....4....0....4....1....0....0....2....0....4....2
..2....4....3....6....2....4....1....4....0....3....3....0....3....3....6....0
..3....0....5....4....7....7....5....1....2....4....4....7....7....1....0....5
..7....0....7....0....6....2....4....7....5....0....7....2....5....4....7....1
..6....6....6....5....5....6....5....5....0....5....2....4....7....6....2....6

Crossrefs

Cf. A268261.

Sequence in context: A211147 A237360 A076459 * A184224 A337629 A218812

Adjacent sequences: A268257 A268258 A268259 * A268261 A268262 A268263

Keyword

nonn

Author

R. H. Hardin, Jan 29 2016

Status

approved