A249497 T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having five times some element equal to the sum of the remaining five

2, 123, 2, 604, 123, 2, 2045, 604, 123, 2, 5706, 2045, 604, 123, 2, 13087, 5706, 2045, 604, 123, 2, 26948, 15027, 5706, 2045, 604, 123, 2, 50529, 33108, 17291, 5706, 2045, 604, 123, 2, 88510, 65269, 40824, 19927, 5706, 2045, 604, 123, 2, 146351, 119150

Offset

1,1

Comments

Table starts

.2.123.604.2045.5706.13087..26948..50529...88510..146351...231312...351913

.2.123.604.2045.5706.15027..33108..65269..119150..203111...328552...523633

.2.123.604.2045.5706.17291..40824..85257..163450..289707...483580...806469

.2.123.604.2045.5706.19927..50372.111741..225686..418771...727448..1270207

.2.123.604.2045.5706.22983..62060.146193..311242..607753..1107386..2026811

.2.123.604.2045.5706.26507..76228.190309..426610..879757..1694154..3254197

.2.123.604.2045.5706.30547..93248.246009..579390.1264377..2591232..5230133

.2.123.604.2045.5706.38087.122908.339429..830450.1899937..4047110..8663387

.2.123.604.2045.5706.47415.161652.468129.1192490.2872441..6388806.14468055

.2.123.604.2045.5706.58843.211682.643233.1707924.4349355.10156570.24312849

Links

R. H. Hardin, Table of n, a(n) for n = 1..914

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = a(n-1)

k=3: a(n) = a(n-1)

k=4: a(n) = a(n-1)

k=5: a(n) = a(n-1)

k=6: [linear recurrence of order 43]

Empirical for row n:

n=1: [linear recurrence of order 15; also a polynomial of degree 5 plus a degree zero quasipolynomial with period 60]

Example

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

Crossrefs

Sequence in context: A013475 A013471 A370967 * A249498 A249499 A249500

Adjacent sequences: A249494 A249495 A249496 * A249498 A249499 A249500

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 30 2014

Status

approved