A249001 T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two.

30, 190, 58, 820, 464, 112, 2540, 2668, 1140, 216, 6450, 10360, 8680, 2802, 416, 13990, 32398, 42308, 28240, 6872, 802, 27740, 82348, 163112, 172888, 91888, 16800, 1546, 50260, 189660, 485580, 822348, 706704, 299044, 41084, 2980, 86030, 387900

Offset: 1

Author

R. H. Hardin, Oct 18 2014

Keywords

• nonn
• tabl

Comments

Table starts

....30....190......820......2540........6450........13990........27740

....58....464.....2668.....10360.......32398........82348.......189660

...112...1140.....8680.....42308......163112.......485580......1298968

...216...2802....28240....172888......822348......2865126......8902860

...416...6872....91888....706704.....4149708.....16909524.....61034658

...802..16800...299044...2888944....20952218.....99817384....418454994

..1546..41084...973204..11810564...105819690....589354152...2869206494

..2980.100590..3167500..48286456...534502810...3479916010..19673497892

..5744.246378.10309372.197422012..2700047696..20548067494.134897701458

.11072.603406.33554728.807188768.13640156760.121333048614.924972633722

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..2018

Crossrefs

Column 1 is A135492(n+4)

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4)

k=2: [order 37]

k=3: [order 9]

Empirical for row n:

n=1: [linear recurrence of order 13; also a polynomial of degree 5 plus a quadratic quasipolynomial with period 6]