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

Author

R. H. Hardin, Jan 26 2015

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 1 is A062298(n+2).

Column k=1 gives A254211.