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 A254539 T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime 14
 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 (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 ..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 LINKS R. H. Hardin, Table of n, a(n) for n = 1..9999 EXAMPLE 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 CROSSREFS Row 1 is A062298(n+2) Sequence in context: A293003 A110062 A144215 * A283827 A122087 A139642 Adjacent sequences: A254536 A254537 A254538 * A254540 A254541 A254542 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 01 2015 STATUS approved

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Last modified November 27 19:48 EST 2022. Contains 358406 sequences. (Running on oeis4.)