A207102 Number of 0..n arrays x(0..4) of 5 elements with each no smaller than the sum of its two previous neighbors modulo (n+1)

12, 55, 176, 441, 989, 1904, 3504, 5925, 9652, 14850, 22390, 32305, 45920, 63323, 86112, 114393, 150567, 194218, 248704, 313495, 392480, 485024, 596300, 724705, 876876, 1051011, 1254512, 1485177, 1752481, 2052448, 2396864, 2781317, 3218508

Offset

1,1

Comments

Row 5 of A207100

Links

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

Formula

Empirical: a(n) = -3*a(n-1) -2*a(n-2) +5*a(n-3) +12*a(n-4) +9*a(n-5) -3*a(n-6) -14*a(n-7) -19*a(n-8) -17*a(n-9) -3*a(n-10) +20*a(n-11) +32*a(n-12) +20*a(n-13) -3*a(n-14) -17*a(n-15) -19*a(n-16) -14*a(n-17) -3*a(n-18) +9*a(n-19) +12*a(n-20) +5*a(n-21) -2*a(n-22) -3*a(n-23) -a(n-24)

Example

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

Crossrefs

Sequence in context: A190948 A275249 A143856 * A343539 A229424 A009653

Adjacent sequences: A207099 A207100 A207101 * A207103 A207104 A207105

Keyword

nonn

Author

R. H. Hardin Feb 15 2012

Status

approved