A254539 T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime.

1, 2, 1, 2, 3, 1, 3, 5, 8, 2, 3, 10, 15, 20, 4, 4, 11, 40, 45, 50, 6, 5, 20, 49, 160, 135, 126, 11, 6, 28, 105, 222, 670, 421, 329, 20, 6, 37, 163, 576, 1087, 3001, 1466, 956, 33, 7, 41, 253, 1026, 3383, 5604, 13503, 5403, 2897, 62, 7, 54, 307, 1849, 6814, 20393, 29038, 60408

Offset: 1

Author

R. H. Hardin, Feb 01 2015

Keywords

• nonn
• tabl

Comments

Table starts

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

..1....3.....5......10......11.......20.......28........37........41.........54

..1....8....15......40......49......105......163.......253.......307........466

..2...20....45.....160.....222......576.....1026......1849......2461.......4195

..4...50...135.....670....1087.....3383.....6814.....13843.....20012......37643

..6..126...421....3001....5604....20393....45472....102595....161277.....338402

.11..329..1466...13503...29038...121774...297210....758766...1313695....3093457

.20..956..5403...60408..150268...709169..1936867...5719495..10916298...28507728

.33.2897.19417..270370..764508..4121638.12941917..43758333..91142820..262001403

.62.8341.69205.1192385.3857845.24622476.88456127.333905794.755234611.2410105286

Examples

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

Links

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

Crossrefs

Row 1 is A062298(n+2)