A245957 Number of length 7+3 0..n arrays with some pair in every consecutive four terms totalling exactly n

548, 31577, 300304, 2141609, 7972932, 26526337, 67596992, 161991665, 335832580, 669329801, 1217929488, 2155659097, 3584230244, 5837790449, 9084731392, 13912683617, 20579766372, 30053056825, 42704873360, 60046213001, 82587911428

Offset

1,1

Comments

Row 7 of A245950

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +5*a(n-2) -12*a(n-3) -9*a(n-4) +30*a(n-5) +5*a(n-6) -40*a(n-7) +5*a(n-8) +30*a(n-9) -9*a(n-10) -12*a(n-11) +5*a(n-12) +2*a(n-13) -a(n-14)

Example

Some solutions for n=2
..1....2....2....2....2....1....0....1....1....2....2....0....0....2....1....1
..0....0....1....1....2....1....2....1....2....0....1....2....2....0....2....0
..0....1....2....1....0....0....2....1....0....2....0....1....2....2....0....1
..1....2....0....0....1....2....0....1....1....0....1....1....2....0....2....0
..2....0....0....0....2....0....2....2....0....2....0....1....0....0....1....2
..1....2....2....1....2....0....1....1....2....1....2....0....1....2....2....2
..2....2....0....2....1....2....2....2....0....0....1....1....0....1....0....2
..0....0....2....1....1....0....1....1....2....1....0....0....1....1....2....0
..0....2....1....1....0....1....2....1....2....1....2....2....2....2....0....1
..0....2....2....0....1....2....1....0....1....2....2....2....0....0....2....1

Crossrefs

Sequence in context: A103537 A136928 A249297 * A352543 A206506 A235829

Adjacent sequences: A245954 A245955 A245956 * A245958 A245959 A245960

Keyword

nonn

Author

R. H. Hardin, Aug 08 2014

Status

approved