A249233 - OEIS

A249233

T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having two times the sum of any two elements equal to the sum of the remaining four

42, 486, 62, 2772, 972, 92, 10620, 7736, 1944, 136, 32070, 36880, 21648, 3888, 200, 81402, 133270, 128436, 60744, 7776, 292, 183696, 400152, 556024, 448148, 170928, 15552, 422, 376752, 1044612, 1974784, 2325864, 1566052, 482388, 31104, 612

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Table starts

...42....486.....2772.....10620.......32070........81402........183696

...62....972.....7736.....36880......133270.......400152.......1044612

...92...1944....21648....128436......556024......1974784.......5967084

..136...3888....60744....448148.....2325864......9772492......34184700

..200...7776...170928...1566052.....9746100.....48456384.....196210998

..292..15552...482388...5479172....40881292....240606388....1127486210

..422..31104..1365524..19188990...171561694...1195936390....6483080144

..612..62208..3889132..67392884...720180558...5953728172...37310369094

..900.124416.11085704.236812732..3023733498..29645835078..214752404734

.1328.248832.31624832.832339890.12696930054.147647019270.1236199073642

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..468

FORMULA

Empirical for column k:

k=1: a(n) = a(n-3) +a(n-4) +a(n-5) +3*a(n-6) +2*a(n-7) +a(n-8) -2*a(n-9) -3*a(n-10) -2*a(n-11) -a(n-12) -a(n-13) +a(n-15) +a(n-16)

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

Empirical for row n:

n=1: a(n) = 4*a(n-1) -4*a(n-2) -3*a(n-3) +6*a(n-4) -6*a(n-7) +3*a(n-8) +4*a(n-9) -4*a(n-10) +a(n-11) also a polynomial of degree six plus a linear quasipolynomial with period 6

EXAMPLE

Some solutions for n=3 k=4

..1....3....2....3....0....1....0....0....0....2....2....3....1....1....4....2

..4....0....3....1....3....2....3....1....1....3....4....1....3....1....0....0

..1....4....3....3....4....3....0....4....0....0....0....0....3....1....0....0

..4....0....0....4....2....0....1....1....2....4....0....1....3....4....0....3

..0....0....3....1....4....2....0....4....1....3....1....0....3....2....3....1

..0....0....3....4....4....2....3....1....0....2....0....2....0....4....1....2

..0....0....4....4....2....4....1....0....4....1....0....3....3....2....4....4

..0....3....3....4....3....0....3....1....0....3....3....1....0....1....3....1

CROSSREFS

Column 1 is A248441

Sequence in context: A216113 A204566 A348833 * A249234 A250324 A086944

Adjacent sequences: A249230 A249231 A249232 * A249234 A249235 A249236

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 23 2014

STATUS

approved