A249466 T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having four times any element equal to the sum of the remaining four.

30, 190, 58, 860, 464, 112, 2640, 2948, 1140, 216, 6730, 11260, 10124, 2802, 416, 14730, 35322, 48180, 34832, 6872, 802, 29060, 91160, 185982, 206428, 119932, 16800, 1546, 52900, 207760, 565516, 980718, 884728, 412972, 41084, 2980, 90390, 429364

Offset: 1

Author

R. H. Hardin, Oct 29 2014

Keywords

• nonn
• tabl

Comments

Table starts

....30....190......860.......2640........6730........14730.........29060

....58....464.....2948......11260.......35322........91160........207760

...112...1140....10124......48180......185982.......565516.......1488294

...216...2802....34832.....206428......980718......3512232......10671554

...416...6872...119932.....884728.....5174842.....21824440......76550058

...802..16800...412972....3791504....27309702....135637752.....549183692

..1546..41084..1422232...16249428...144140836....843025344....3940066010

..2980.100590..4898776...69646680...760833398...5239822940...28268238072

..5744.246378.16874830..298527530..4016197550..32568952752..202814997034

.11072.603406.58131580.1279613894.21200828116.202440565098.1455140474848

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..2019

Crossrefs

Column 1 is A135492(n+4)

Column 2 is A248995

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]

Empirical for row n:

n=1: [linear recurrence of order 11; also a polynomial of degree 5 plus a constant quasipolynomial with period 12]