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 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. 14
 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 (list; table; graph; refs; listen; history; text; internal format)
 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

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Last modified September 15 10:23 EDT 2024. Contains 375932 sequences. (Running on oeis4.)