A200256 Number of 0..n arrays x(0..6) of 7 elements with each no smaller than the sum of its previous elements modulo (n+1)

34, 192, 1252, 3645, 12063, 28672, 71970, 140625, 287570, 513216, 936348, 1529437, 2544535, 3932160, 6155908, 9034497, 13408074, 19000000, 27138660, 37202781, 51353159, 68677632, 92363430, 120670225, 158439658, 203297472, 261905308

Offset

1,1

Comments

Row 7 of A200251

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -2*a(n-3) +2*a(n-4) -2*a(n-5) +2*a(n-7) -2*a(n-9) +2*a(n-11) -2*a(n-12) +2*a(n-13) -2*a(n-15) +2*a(n-16) -2*a(n-17) +2*a(n-19) -2*a(n-20) +2*a(n-21) -2*a(n-23) +2*a(n-25) -2*a(n-27) +2*a(n-28) -2*a(n-29) +2*a(n-31) +a(n-32) -4*a(n-33) +4*a(n-35) -4*a(n-36) +4*a(n-37) -4*a(n-39) +4*a(n-41) -4*a(n-43) +4*a(n-44) -4*a(n-45) +4*a(n-47) -4*a(n-48) +4*a(n-49) -4*a(n-51) +4*a(n-52) -4*a(n-53) +4*a(n-55) -4*a(n-57) +4*a(n-59) -4*a(n-60) +4*a(n-61) -4*a(n-63) +a(n-64) +2*a(n-65) -2*a(n-67) +2*a(n-68) -2*a(n-69) +2*a(n-71) -2*a(n-73) +2*a(n-75) -2*a(n-76) +2*a(n-77) -2*a(n-79) +2*a(n-80) -2*a(n-81) +2*a(n-83) -2*a(n-84) +2*a(n-85) -2*a(n-87) +2*a(n-89) -2*a(n-91) +2*a(n-92) -2*a(n-93) +2*a(n-95) -a(n-96)

Example

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

Crossrefs

Sequence in context: A365222 A032771 A269237 * A074709 A074900 A302227

Adjacent sequences: A200253 A200254 A200255 * A200257 A200258 A200259

Keyword

nonn

Author

R. H. Hardin Nov 15 2011

Status

approved