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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
13
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 29 2014
STATUS
approved