A254204 T(n,k)=Number of length n 1..(k+2) arrays with no leading or trailing partial sum equal to a prime

1, 2, 0, 2, 1, 0, 3, 1, 2, 0, 3, 4, 4, 6, 1, 4, 4, 17, 9, 11, 0, 5, 11, 18, 54, 21, 27, 0, 6, 16, 47, 59, 176, 47, 53, 1, 6, 23, 68, 195, 204, 610, 118, 133, 0, 7, 23, 119, 315, 898, 769, 2197, 333, 310, 0, 7, 34, 131, 676, 1653, 4353, 3098, 8358, 984, 691, 1, 8, 34, 226, 786, 4078

Offset

1,2

Comments

Table starts

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

.0...1....1......4......4......11......16.......23.......23........34........34

.0...2....4.....17.....18......47......68......119......131.......226.......237

.0...6....9.....54.....59.....195.....315......676......786......1571......1743

.1..11...21....176....204.....898....1653.....4078.....5075.....11512.....13456

.0..27...47....610....769....4353....9126....25389....33798.....85437....105502

.0..53..118...2197...3098...22189...50166...156454...222665....640886....845325

.1.133..333...8358..14080..112015..266060...972441..1504758...4956259...6973431

.0.310..984..34005..63868..542397.1445197..6288889.10555156..38994996..58337721

.0.691.3362.132483.261240.2658643.8388620.41384162.74476895.308256904.493751257

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

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

Crossrefs

Row 1 is A062298(n+2)

Sequence in context: A127371 A036849 A097364 * A321361 A319517 A321460

Adjacent sequences: A254201 A254202 A254203 * A254205 A254206 A254207

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 26 2015

Status

approved