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A249085
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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.
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13
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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FORMULA
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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].
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EXAMPLE
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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
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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