OFFSET
1,2
COMMENTS
Table starts
...1.....2....4....8....16....32....64...128...256...512..1024..2048..4096
...2.....8...17...37....78...169...361...778..1673..3605..7774.16777.36241
...4....25...24...39....57....87...145...241...397...669..1133..1909..3229
...8....81...60...96...130...176...260...406...636...996..1586..2552..4108
..16...264..133..207...278...358...472...658...974..1476..2246..3446..5334
..32...857..283..405...534...706...924..1190..1602..2290..3374..5036..7604
..64..2785..634..897..1106..1422..1887..2429..3093..4063..5629..8037.11711
.128..9050.1419.1975..2362..2858..3681..4795..6109..7699..9985.13483.18797
.256.29407.3092.4154..4901..5793..7126..9058.11794.14920.18660.23832.31694
.512.95557.6849.8884.10240.11986.14363.17511.22411.28951.36521.45125.56983
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..481
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4)
k=3: a(n) = 2*a(n-1) +3*a(n-3) -3*a(n-4) -4*a(n-5) +4*a(n-6) -4*a(n-7) for n>9
k=4: a(n) = a(n-1) +a(n-2) +4*a(n-3) +a(n-4) -4*a(n-5) -5*a(n-6) +3*a(n-8) for n>10
k=5: [order 10] for n>15
k=6: [order 11] for n>17
k=7: [order 12] for n>19
Empirical for row n:
n=1: a(n) = 2*a(n-1)
n=2: a(n) = 3*a(n-1) +a(n-2) -6*a(n-3) -2*a(n-4) +4*a(n-5) for n>6
n=3: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -2*a(n-4) for n>8
n=4: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-5) for n>9
n=5: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) +a(n-5) -a(n-6) for n>11
n=6: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) +a(n-6) -a(n-7) for n>12
n=7: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) +a(n-7) -a(n-8) for n>16
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..0. .0..1..0..1. .0..0..1..0. .0..1..0..1. .0..1..1..0
..1..1..0..1. .0..1..0..1. .1..1..0..1. .0..1..0..1. .0..1..0..0
..1..0..0..1. .1..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
..1..0..1..1. .1..0..0..0. .1..1..0..1. .1..0..1..0. .1..1..0..1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 22 2017
STATUS
approved