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A249085 T(n,k) = Number of length n+5 0..k arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four. 13
22, 243, 22, 1324, 243, 22, 5005, 1944, 243, 22, 14586, 8805, 2844, 243, 22, 36247, 28366, 15493, 4136, 243, 22, 78448, 84067, 55318, 27213, 5964, 243, 22, 154689, 202628, 195519, 108018, 47645, 8504, 243, 22, 281470, 429069, 525960, 454487 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.22.243....1324......5005......14586.......36247........78448........154689
.22.243....1944......8805......28366.......84067.......202628........429069
.22.243....2844.....15493......55318......195519.......525960.......1201225
.22.243....4136.....27213.....108018......454487......1365188.......3374725
.22.243....5964.....47645.....211034.....1054347......3535850.......9493535
.22.243....8504.....83045.....412334.....2439587......9128450......26718133
.22.243...11964....143925.....805518.....5629189.....23480326......75209315
.22.243...18884....263405....1574782....13492099.....61940694.....211999693
.22.243...29484....480725....3079710....32245925....162995818.....598200699
.22.243...45428....874421....6024336....76837553....427723930....1689449813
.22.243...68892...1584425...11786986...182515991...1118943674....4775230927
.22.243..102564...2858305...23066566...432099083...2917379528...13507360617
.22.243..149644...5130445...45148946..1019449179...7579080652...38234913321
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1).
k=2: a(n) = a(n-1).
k=3: [order 25].
k=4: [order 40].
Empirical for row n:
n=1: [linear recurrence of order 10; also a polynomial of degree 5 plus a linear quasipolynomial with period 6].
EXAMPLE
Some solutions for n=4, k=4
..0....3....3....4....1....1....1....3....2....1....3....1....1....4....2....0
..3....3....3....4....3....1....0....4....0....1....3....4....0....4....4....4
..4....3....0....0....0....3....0....0....3....1....2....0....4....4....2....3
..4....2....3....3....2....0....0....0....3....4....1....3....4....2....0....0
..2....4....1....3....2....2....0....2....0....0....4....0....2....1....4....0
..2....0....2....1....1....2....2....3....1....2....2....4....4....0....3....2
..0....0....3....1....4....1....1....0....2....4....0....1....1....1....2....3
..0....3....0....4....0....1....0....1....0....4....3....1....3....4....1....4
..1....0....0....3....0....0....3....0....0....1....2....0....4....4....2....0
CROSSREFS
Sequence in context: A046499 A126903 A035706 * A249086 A300624 A249087
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 20 2014
STATUS
approved

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Last modified June 24 01:53 EDT 2024. Contains 373661 sequences. (Running on oeis4.)