A249197 T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having four times the sum of any three elements equal to three times the sum of the remaining four

126, 1792, 250, 14126, 4586, 496, 66948, 49730, 11874, 984, 240870, 290032, 175616, 30876, 1952, 708106, 1249890, 1257084, 620648, 80354, 3872, 1809164, 4264120, 6487112, 5448778, 2194096, 208876, 7680, 4132884, 12523980, 25682744, 33673760

Offset

1,1

Comments

Table starts

......126.......1792.........14126..........66948..........240870

......250.......4586.........49730.........290032.........1249890

......496......11874........175616........1257084.........6487112

......984......30876........620648........5448778........33673760

.....1952......80354.......2194096.......23617364.......174811880

.....3872.....208876.......7758744......102366154.......907556600

.....7680.....541624......27446576......443680650......4711821902

....15234....1400008......97142002.....1922960684.....24462953912

....30218....3618986.....343823110.....8334332160....127008089170

....59940....9363890....1217189036....36123881064....659412923000

...118896...24245852....4309583172...156575247076...3423615122520

Links

R. H. Hardin, Table of n, a(n) for n = 1..174

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4) +a(n-5) +a(n-6)

Example

Some solutions for n=3 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....1....1....0....0....1....1....1....1....1....1....1....1....1....0
..3....3....4....2....0....0....4....4....2....2....4....3....2....4....1....4
..3....2....3....1....1....4....2....1....0....2....3....4....1....1....0....0
..2....4....2....2....4....0....1....0....3....0....4....2....0....3....1....2
..0....4....4....0....4....0....3....2....0....3....3....1....4....4....0....1
..2....3....2....0....0....1....0....1....4....2....0....1....1....3....0....2
..0....1....0....4....2....4....1....0....2....3....1....0....4....2....1....1
..1....1....4....4....1....2....0....1....2....0....4....0....4....3....1....0

Crossrefs

Sequence in context: A027805 A027814 A109146 * A249212 A249319 A249198

Adjacent sequences: A249194 A249195 A249196 * A249198 A249199 A249200

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 23 2014

Status

approved