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A249656
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T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having four times some element equal to the sum of the remaining four
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11
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2, 53, 2, 164, 53, 2, 485, 164, 53, 2, 1046, 485, 164, 53, 2, 2077, 1218, 485, 164, 53, 2, 3708, 2589, 1408, 485, 164, 53, 2, 6149, 4944, 3221, 1620, 485, 164, 53, 2, 9610, 8605, 6678, 3981, 1858, 485, 164, 53, 2, 14441, 13814, 12377, 9026, 4877, 2126, 485, 164, 53
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OFFSET
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1,1
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COMMENTS
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Table starts
.2.53.164.485.1046..2077..3708...6149...9610...14441...20832...29173...39794
.2.53.164.485.1218..2589..4944...8605..13814...21789...32332...46097...63726
.2.53.164.485.1408..3221..6678..12377..20572...33877...51568...74947..105310
.2.53.164.485.1620..3981..9026..18009..31276...53643...83648..124019..177426
.2.53.164.485.1858..4877.12108..26269..48120...85863..137008..207153..301826
.2.53.164.485.2126..5917.16048..38149..74540..138277..225550..347407..515094
.2.53.164.485.2590..7709.23048..58981.118234..229677..383820..602267..905604
.2.53.164.485.3132..9957.33102..91929.190134..384399..656584.1050109.1604176
.2.53.164.485.3764.12707.47170.143465.308642..647223.1128230.1838941.2857318
.2.53.164.485.4498.16005.66232.222677.503942.1094265.1944918.3228569.5104984
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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: a(n) = a(n-1)
k=4: a(n) = a(n-1)
k=5: [order 26]
k=6: [order 66]
Empirical for row n:
n=1: [linear recurrence of order 10; also a polynomial of degree 4 plus a quasipolynomial of degree 0 with period 12]
n=2: [order 69]
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EXAMPLE
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Some solutions for n=6 k=4
..4....1....1....2....1....2....0....4....3....4....3....3....3....1....1....3
..3....0....1....4....1....1....3....2....1....4....0....2....1....3....3....2
..2....2....0....0....3....4....3....1....2....0....0....4....0....1....0....3
..3....4....2....1....3....1....2....3....3....4....1....0....2....3....2....4
..3....3....1....3....2....2....2....0....1....3....1....1....4....2....4....3
..4....1....1....2....1....2....0....4....3....4....3....3....3....1....1....3
..3....0....1....4....1....1....3....2....1....4....0....2....1....3....3....2
..2....2....0....0....3....4....3....1....2....0....0....4....0....1....0....3
..3....4....2....1....3....1....2....3....3....4....1....0....2....3....2....4
..3....3....1....3....2....2....2....0....1....3....1....1....4....2....4....3
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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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