A250348 Number of length n arrays x(i), i=1..n with x(i) in i..i+5 and no value appearing more than 2 times

6, 36, 212, 1221, 6900, 38543, 214716, 1193739, 6628042, 36773706, 203951790, 1130937489, 6270501936, 34764775155, 192735759120, 1068507612315, 5923642360728, 32839591629254, 182056176609954, 1009281733768068

Offset

1,1

Comments

Column 5 of A250351

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -8*a(n-3) -12*a(n-4) -66*a(n-5) -332*a(n-6) +132*a(n-7) +447*a(n-8) +294*a(n-9) +630*a(n-10) +396*a(n-11) -484*a(n-12) -222*a(n-13) +192*a(n-14) -188*a(n-15) -144*a(n-16) +114*a(n-17) +50*a(n-18) -12*a(n-19) +21*a(n-20) +16*a(n-21) -a(n-24)

Example

Some solutions for n=6
..5....3....5....3....1....2....0....0....5....4....4....0....0....5....0....0
..6....1....2....5....5....4....5....6....1....2....6....2....4....1....4....6
..2....7....3....2....3....2....4....4....3....4....5....7....3....3....6....6
..7....7....4....6....8....7....4....5....3....5....8....8....4....7....3....7
..9....9....7....7....6....4....9....5....7....7....8....7....7....5....4....9
..9...10....8....5....5....7....5....7...10...10...10....9....9....7....5....7

Crossrefs

Sequence in context: A357091 A268454 A171280 * A199525 A074436 A036162

Adjacent sequences: A250345 A250346 A250347 * A250349 A250350 A250351

Keyword

nonn

Author

R. H. Hardin, Nov 19 2014

Status

approved