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

Author

R. H. Hardin, Oct 23 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

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)