OFFSET
1,1
COMMENTS
Table starts
......512....2371..6516.16196.47704.156873.488240.1356489.3595084.9838222
.....2371....7334.13616.23785.45771..91023.169230..300889..536665..960950
.....6516...13616.19920.25076.25532..23907..23398...26321...30168...33303
....16196...23785.25076.18282..9784...5331...3904....3384....2918....2518
....47704...45771.25532..9784..4028...2176...1362.....994....1054.....915
...156873...91023.23907..5331..2176...1256....767.....588.....649.....530
...488240..169230.23398..3904..1362....767....520.....442.....396.....388
..1356489..300889.26321..3384...994....588....442.....424.....348.....336
..3595084..536665.30168..2918..1054....649....396.....348.....312.....310
..9838222..960950.33303..2518...915....530....388.....336.....310.....252
.27777116.1692043.35726..2590...948....541....354.....300.....306.....246
.77335445.2898384.37801..2760...954....519....332.....282.....268.....228
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..7562
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 30] for n>34
k=2: [order 94] for n>105
k=3: [order 19] for n>39
k=4: a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-5) +a(n-6) +a(n-7) +a(n-8) for n>19
k=5: a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-5) +a(n-6) +a(n-7) +a(n-8) for n>19
k=6: a(n) = a(n-5) for n>16
k=7: a(n) = -a(n-2) +a(n-5) +a(n-7) for n>18
Empirical periods for column k:
k=4: period 20 starting at n=12: 2760 2878 2779 2550 2508 2654 2902 2899 2512 2402 2678 3022 2861 2406 2426 2798 2984 2755 2430 2546
k=5: period 20 starting at n=12: 954 844 1017 896 934 918 869 1028 896 898 943 880 1028 860 923 954 880 992 885 934
k=6: period 5 starting at n=12: 519 486 567 482 521
k=7: period 20 starting at n=12: 332 348 316 340 336 336 344 312 344 340 332 340 316 348 336 328 344 320 344 332
EXAMPLE
Some solutions for n=4 k=4
..1..1..1..1..1..0....1..1..0..0..0..1....0..1..0..0..0..0....0..1..0..0..0..1
..1..0..1..1..1..0....0..0..1..0..1..1....1..0..0..1..1..0....1..1..0..0..1..1
..1..1..1..0..0..1....0..0..1..0..1..1....1..1..1..0..0..1....0..0..1..1..1..0
..1..1..0..0..0..1....0..0..0..1..1..1....1..1..1..0..0..1....0..1..1..0..0..1
..0..0..0..1..0..0....0..1..0..1..0..1....1..0..0..1..1..0....0..0..0..1..1..1
..1..1..1..1..1..1....0..1..1..1..0..1....0..1..1..1..0..1....0..1..1..1..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 01 2015
STATUS
approved