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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A268261.
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)
Comments