A200669 Number of 0..n arrays x(0..4) of 5 elements with each no smaller than the sum of its three previous neighbors modulo (n+1)

12, 46, 175, 406, 938, 1813, 3414, 5682, 9412, 14443, 22009, 31668, 45374, 62393, 85516, 113373, 149874, 193249, 248539, 312886, 393096, 485530, 598634, 727155, 881972, 1056600, 1264221, 1495936, 1768186, 2070552, 2422168, 2809532, 3256044

Offset

1,1

Comments

Row 5 of A200668

Links

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

Formula

Empirical: a(n) = -2*a(n-1) -2*a(n-2) +5*a(n-4) +8*a(n-5) +7*a(n-6) +2*a(n-7) -5*a(n-8) -8*a(n-9) -9*a(n-10) -10*a(n-11) -9*a(n-12) -6*a(n-13) +4*a(n-14) +16*a(n-15) +20*a(n-16) +16*a(n-17) +4*a(n-18) -6*a(n-19) -9*a(n-20) -10*a(n-21) -9*a(n-22) -8*a(n-23) -5*a(n-24) +2*a(n-25) +7*a(n-26) +8*a(n-27) +5*a(n-28) -2*a(n-30) -2*a(n-31) -a(n-32)

Example

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

Crossrefs

Sequence in context: A100183 A050490 A169881 * A197471 A159013 A022281

Adjacent sequences: A200666 A200667 A200668 * A200670 A200671 A200672

Keyword

nonn

Author

R. H. Hardin Nov 20 2011

Status

approved