A200670 Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its three previous neighbors modulo (n+1)

17, 89, 432, 1217, 3283, 7322, 15504, 28743, 52389, 87890, 145070, 225134, 345639, 507376, 738960, 1038003, 1448418, 1966975, 2656248, 3504620, 4603324, 5934897, 7622356, 9631810, 12132029, 15075684, 18682566, 22873460, 27937667, 33775988

Offset

1,1

Comments

Row 6 of A200668

Links

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

Formula

Empirical: a(n) = -4*a(n-1) -11*a(n-2) -23*a(n-3) -40*a(n-4) -59*a(n-5) -74*a(n-6) -75*a(n-7) -50*a(n-8) +11*a(n-9) +112*a(n-10) +244*a(n-11) +385*a(n-12) +497*a(n-13) +536*a(n-14) +458*a(n-15) +238*a(n-16) -121*a(n-17) -575*a(n-18) -1044*a(n-19) -1421*a(n-20) -1595*a(n-21) -1481*a(n-22) -1044*a(n-23) -322*a(n-24) +578*a(n-25) +1489*a(n-26) +2226*a(n-27) +2618*a(n-28) +2560*a(n-29) +2034*a(n-30) +1125*a(n-31) -1125*a(n-33) -2034*a(n-34) -2560*a(n-35) -2618*a(n-36) -2226*a(n-37) -1489*a(n-38) -578*a(n-39) +322*a(n-40) +1044*a(n-41) +1481*a(n-42) +1595*a(n-43) +1421*a(n-44) +1044*a(n-45) +575*a(n-46) +121*a(n-47) -238*a(n-48) -458*a(n-49) -536*a(n-50) -497*a(n-51) -385*a(n-52) -244*a(n-53) -112*a(n-54) -11*a(n-55) +50*a(n-56) +75*a(n-57) +74*a(n-58) +59*a(n-59) +40*a(n-60) +23*a(n-61) +11*a(n-62) +4*a(n-63) +a(n-64)

Example

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

Crossrefs

Sequence in context: A162930 A138338 A267820 * A057638 A159676 A061971

Adjacent sequences: A200667 A200668 A200669 * A200671 A200672 A200673

Keyword

nonn

Author

R. H. Hardin Nov 20 2011

Status

approved