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

1,1

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

Links

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

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]

Example

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

Crossrefs

Column 1 is A135492(n+4)

Column 2 is A248995

Sequence in context: A337494 A265037 A249001 * A249002 A249467 A309924

Adjacent sequences: A249463 A249464 A249465 * A249467 A249468 A249469

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 29 2014

Status

approved