A254218 T(n,k) = number of length n 1..(k+2) arrays with no leading or trailing partial sum equal to a prime and no consecutive values equal.

1, 2, 0, 2, 0, 0, 3, 0, 1, 0, 3, 2, 3, 2, 1, 4, 2, 11, 4, 2, 0, 5, 8, 12, 22, 8, 2, 0, 6, 12, 32, 24, 56, 6, 2, 0, 6, 18, 48, 96, 70, 136, 15, 2, 0, 7, 18, 86, 168, 373, 192, 383, 18, 5, 0, 7, 28, 98, 388, 766, 1472, 633, 1070, 45, 4, 0, 8, 28, 172, 490, 2056, 3720, 6490, 2484, 3897

Offset

1,2

Comments

Table starts

.1.2...2.....3.....3......4.......5........6........6.........7.........7

.0.0...0.....2.....2......8......12.......18.......18........28........28

.0.1...3....11....12.....32......48.......86.......98.......172.......183

.0.2...4....22....24.....96.....168......388......490......1024......1168

.1.2...8....56....70....373.....766.....2056.....2803......6705......8187

.0.2...6...136...192...1472....3720....11182....16698.....44652.....58174

.0.2..15...383...633...6490...18214....60168....97089....296955....420163

.0.2..18..1070..2484..28190...81428...316982...574274...2056696...3150280

.0.5..45..3897.10554.109811..362910..1788533..3605385..14593061..23955140

.0.4.118.13372.35054.428042.1828848.10469104.22736838.103347086.183929058

Links

R. H. Hardin, Table of n, a(n) for n = 1..265

Example

Some solutions for n=4 k=4
..4....4....4....1....1....1....1....6....6....6....1....6....4....4....4....6
..6....2....2....3....5....5....5....3....3....4....5....2....2....5....6....4
..4....4....3....2....6....3....4....5....5....2....3....4....6....3....2....2
..6....6....1....4....4....6....6....1....4....4....1....6....4....6....4....6

Crossrefs

Row 1 is A062298(n+2).

Column k=1 gives A254211.

Sequence in context: A359007 A128765 A193511 * A263147 A298100 A303636

Adjacent sequences: A254215 A254216 A254217 * A254219 A254220 A254221

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 26 2015

Status

approved