A244792
Number of length 4 0..n arrays with each partial sum starting from the beginning no more than one standard deviation from its mean.
Original entry on oeis.org
8, 17, 72, 201, 454, 851, 1116, 1919, 3162, 4821, 5036, 8185, 11436, 15901, 21134, 21873, 30746, 37251, 50078, 62067, 63826, 82963, 96446, 121995, 144936, 155695, 183642, 207867, 252596, 257575, 310050, 356231, 395774, 467467, 475588, 557823
Offset: 1
Some solutions for n=10
..7....3....6....5....4....6....5....4....6....7....7....7....7....3....5....3
..1....3....6....6....9....7....6....9....7....4....3....5....0....6....5....3
..5....6....6....7....6....6....5....5....5....8....0....3....3....7....0....8
..1....7....6....7....0....4....1....4....2....4....9....0....4....1....8....2
A244793
Number of length 5 0..n arrays with each partial sum starting from the beginning no more than one standard deviation from its mean.
Original entry on oeis.org
12, 41, 268, 941, 2424, 5101, 7730, 14519, 26882, 47381, 54282, 93567, 138214, 207081, 288862, 319535, 489922, 628893, 878082, 1128849, 1220884, 1640461, 1997876, 2688937, 3290036, 3680517, 4461044, 5245231, 6537106, 7081377, 8727400
Offset: 1
Some solutions for n=10
..2....3....4....8....7....8....5....3....2....2....6....3....8....4....7....5
..9....3....7....1....3....3....8....7....6....7....0....5....5....9....2....8
..6....6....2....5....2....5....6....8....7....8....9....4....7....2....5....3
..4....6....9....8....9...10....1....0....1....4....5....2....4....3...10....0
..7....9....3....5....0....5....2....1...10....0....0....6....3....7....6....6
A244794
Number of length 6 0..n arrays with each partial sum starting from the beginning no more than one standard deviation from its mean.
Original entry on oeis.org
24, 123, 876, 4153, 13270, 30359, 54842, 118709, 249138, 451435, 578416, 1097315, 1689194, 2764601, 4168526, 4963149, 7736592, 10637277, 15795400, 20870151, 23943826, 33943725, 42406142, 59306385, 76126258, 89257109, 110426270
Offset: 1
Some solutions for n=10
..3....2....3....4....4....3....2....2....4....2....2....2....2....4....3....2
..4...10....5....4....2....6....7....6....4....9....8....8...10....4....3...10
..5....3....3....6....6....1....1....7....3....9....3....4....6....7....4....4
.10....2....7....2....7....5....8....6....5....0....8....3....6...10....8....0
..2....7....1....6....4....5....1....4...10....8....3....3....5....7....9....5
..2....6....7....5....1....8....4....0....4....3....3....6....0....2....9....6
A244795
Number of length 7 0..n arrays with each partial sum starting from the beginning no more than one standard deviation from its mean.
Original entry on oeis.org
36, 345, 3236, 18143, 73988, 197949, 396488, 940083, 2280068, 4535323, 6219898, 12556597, 21778114, 37625779, 59656736, 74529439, 127085928, 182325201, 281772734, 402272779, 478748680, 702649285, 917558424, 1352825865, 1790333160
Offset: 1
Some solutions for n=10
..2....3....3....2....2....2....3....2....3....2....3....2....2....3....2....2
..4....3....3....4....4....4....3....4....3....4....3....4....4....3....4....4
.10....8....6....7....7....4....6...10....8....7....7....9....5....5....9....9
..2....0....7....7....7....6....4....4....5....7....4....0....5....3....1....2
..8...10....1....2....3....9....3....6....5....7....2....9...10...10....4....4
..7...10....5....6....6....2....7...10....6....1....8....3....2....2....3....7
..9....7....4....2....6....0....7....7....5...10....3....1....1....8....8....0
Comments