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

Author

R. H. Hardin, Mar 03 2015

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 1 is A062298(n+2)