A255716 T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime and no consecutive values equal

1, 2, 1, 2, 2, 1, 3, 4, 4, 1, 3, 8, 10, 6, 1, 4, 9, 26, 21, 8, 1, 5, 17, 33, 81, 47, 14, 1, 6, 24, 75, 120, 261, 102, 19, 1, 6, 32, 121, 342, 480, 936, 256, 33, 1, 7, 36, 191, 653, 1707, 2079, 3435, 754, 69, 1, 7, 48, 242, 1221, 3764, 8814, 9044, 12406, 2169, 162, 1, 8, 52, 374

Offset

1,2

Comments

Table starts

.1...2....2......3......3.......4........5.........6.........6.........7

.1...2....4......8......9......17.......24........32........36........48

.1...4...10.....26.....33......75......121.......191.......242.......374

.1...6...21.....81....120.....342......653......1221......1729......3037

.1...8...47....261....480....1707.....3764......8072.....12646.....24669

.1..14..102....936...2079....8814....22155.....53090.....91493....200228

.1..19..256...3435...9044...45735...127375....346499....667623...1659159

.1..33..754..12406..39604..229317...721134...2312940...4999570..13912571

.1..69.2169..45637.170835.1129024..4201419..15787318..37773069.116235183

.1.162.5999.165303.720348.5744720.25338485.107642427.282611786.969235198

Links

R. H. Hardin, Table of n, a(n) for n = 1..9999

Example

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

Crossrefs

Row 1 is A062298(n+2)

Sequence in context: A238190 A227925 A035388 * A351289 A177954 A337312

Adjacent sequences: A255713 A255714 A255715 * A255717 A255718 A255719

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 03 2015

Status

approved