A207103 Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its two previous neighbors modulo (n+1)

18, 115, 458, 1382, 3579, 7868, 16224, 30390, 54294, 90959, 148204, 229944, 349580, 513531, 740976, 1041114, 1444791, 1960021, 2632938, 3474205, 4543704, 5855409, 7493700, 9466310, 11887746, 14768802, 18248930, 22339541, 27226927, 32903121

Offset

1,1

Comments

Row 6 of A207100

Links

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

Formula

Empirical: a(n) = -3*a(n-1) -5*a(n-2) -5*a(n-3) -3*a(n-4) +2*a(n-5) +11*a(n-6) +21*a(n-7) +27*a(n-8) +25*a(n-9) +16*a(n-10) -3*a(n-11) -28*a(n-12) -52*a(n-13) -66*a(n-14) -67*a(n-15) -51*a(n-16) -16*a(n-17) +27*a(n-18) +69*a(n-19) +99*a(n-20) +111*a(n-21) +93*a(n-22) +52*a(n-23) -52*a(n-25) -93*a(n-26) -111*a(n-27) -99*a(n-28) -69*a(n-29) -27*a(n-30) +16*a(n-31) +51*a(n-32) +67*a(n-33) +66*a(n-34) +52*a(n-35) +28*a(n-36) +3*a(n-37) -16*a(n-38) -25*a(n-39) -27*a(n-40) -21*a(n-41) -11*a(n-42) -2*a(n-43) +3*a(n-44) +5*a(n-45) +5*a(n-46) +3*a(n-47) +a(n-48)

Example

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

Crossrefs

Sequence in context: A126486 A251937 A061803 * A101089 A022678 A293878

Adjacent sequences: A207100 A207101 A207102 * A207104 A207105 A207106

Keyword

nonn

Author

R. H. Hardin Feb 15 2012

Status

approved