A200186
Number of -2..2 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
1, 4, 6, 14, 24, 54, 104, 230, 464, 1028, 2128, 4720, 9918, 22038, 46760, 104056, 222338, 495358, 1064138, 2373070, 5119796, 11425974, 24738074, 55242788, 119958510, 268018844, 583462384, 1304179214, 2845288284, 6362293924
Offset: 1
Some solutions for n=5
.-2....0...-2....0...-1....2....2...-2...-1...-1...-2....1....1....2...-1....0
..1....2....2...-2....2...-2...-2....2....2....1....2...-1...-2...-1....2....2
.-1...-2...-1....2...-1....2....0...-2...-1...-1....0....2....1....1...-2...-1
..2....1....2...-2....1...-2...-2....2....2....2....2...-2...-1...-2....2....1
..0...-1...-1....2...-1....0....2....0...-2...-1...-2....0....1....0...-1...-2
A200187
Number of -3..3 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
1, 6, 14, 48, 144, 482, 1534, 5148, 16826, 56918, 188706, 642300, 2149072, 7348408, 24749244, 84919630, 287439908, 988917344, 3360535304, 11586463472, 39498606276, 136421151864, 466287543690, 1612808711870, 5524756100592
Offset: 1
Some solutions for n=5
..3...-2...-1...-2...-1...-2....2...-2....0....2....2...-1...-3....3....0....2
.-3....3....3....2...-3....2...-2....2...-2...-3...-3....2....2...-3....2...-2
..0...-3...-3....0....2...-2....2....0....2....3....1...-1...-3....2...-3....1
.-3....2....3....2...-1....2...-3....3...-2...-2...-2....1....3...-3....3...-3
..3....0...-2...-2....3....0....1...-3....2....0....2...-1....1....1...-2....2
A200188
Number of -4..4 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
1, 8, 28, 120, 506, 2240, 9856, 44562, 199932, 914676, 4152696, 19143782, 87622590, 406118090, 1869888346, 8701509206, 40245967276, 187867050760, 872020225984, 4080661245080, 18995817588580, 89071683414448, 415623180115020
Offset: 1
Some solutions for n=5
..1....2....1...-1....4....0...-2...-1....0...-4...-2....0....3....4....0....2
..4...-1...-4....4...-3....4....2...-3....3....3...-4...-3...-4...-4...-4...-2
.-3....2....2...-2....4...-2...-3....4...-2....1....3....2....4....0....3....2
..1...-3...-1....3...-4....1....4...-1....2....3....0...-1...-3...-3...-2...-2
.-3....0....2...-4...-1...-3...-1....1...-3...-3....3....2....0....3....3....0
A200189
Number of -5..5 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
1, 10, 44, 242, 1298, 7266, 40632, 231916, 1320876, 7630236, 43951298, 255926506, 1485664226, 8700154180, 50792100530, 298703878402, 1751415860436, 10333766393384, 60797757383394, 359661008763242, 2121869963574120
Offset: 1
Some solutions for n=5
.-1...-3....4....2....1...-4...-5...-1...-1...-1....2....2...-3....0....2...-3
..2....5...-4....4...-4....3....2...-5....5....4...-4....4....5....4....5....5
.-4...-2....1...-3....5...-3...-3....3...-4...-1....2...-5...-3...-3...-5...-1
..4....1...-2....0...-2....5....4...-1....1....1...-3....1....2....1....0....2
.-1...-1....1...-3....0...-1....2....4...-1...-3....3...-2...-1...-2...-2...-3
A200190
Number of -6..6 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
1, 12, 66, 426, 2794, 18838, 127800, 881008, 6081086, 42452472, 296258332, 2085263400, 14662923954, 103810065802, 734016517080, 5219300699654, 37060739113354, 264413563521598, 1883784631395118, 13476226807283384
Offset: 1
Some solutions for n=5
..4....3...-1....4....0....2...-2....1....4....5...-2...-6....6...-1...-2....2
.-6...-3....6...-6....5....4....2....3...-2...-6...-4....4...-5....5...-5...-2
..4...-1...-6....1...-5...-6...-5...-4....5....2....2....2....5...-4....6....0
.-4...-3....2...-4....2....3....6....5...-5...-3....0....6...-4....2...-1...-3
..2....4...-1....5...-2...-3...-1...-5...-2....2....4...-6...-2...-2....2....3
A200191
Number of -7..7 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
1, 14, 90, 688, 5300, 41938, 334278, 2702398, 21910764, 179391752, 1470318926, 12138752566, 100237526220, 832451175714, 6911760321744, 57654489610890, 480698731253616, 4023489592590784, 33656450218770442, 282477294114249058
Offset: 1
Some solutions for n=5
.-4....0...-3...-3...-1...-7....5....6...-6...-2...-6....2....0...-7...-3...-4
..4....6....5....5....7....5...-7...-6....0....4....1...-4....4....4....2...-6
.-5...-3...-5....0...-1...-4....7....2...-3...-5...-4....3...-5...-2...-7....4
..5....2....6....4....2....7...-7...-4....6....4....6...-5....2....6....6....2
..0...-5...-3...-6...-7...-1....2....2....3...-1....3....4...-1...-1....2....4
A200193
Number of -n..n arrays x(0..3) of 4 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
2, 14, 48, 120, 242, 426, 688, 1040, 1494, 2066, 2768, 3612, 4614, 5786, 7140, 8692, 10454, 12438, 14660, 17132, 19866, 22878, 26180, 29784, 33706, 37958, 42552, 47504, 52826, 58530, 64632, 71144, 78078, 85450, 93272, 101556, 110318, 119570, 129324
Offset: 1
Some solutions for n=5:
.-3....2...-2....0....0...-2....1....1...-2....5...-3...-3....0...-2...-1...-1
..2...-5....5...-4....5....0...-5...-3....5...-5....5...-5...-2....3...-4....2
.-4....3...-3....5...-4...-3....3....3...-5....1...-4....5....4...-4....4...-3
..5....0....0...-1...-1....5....1...-1....2...-1....2....3...-2....3....1....2
A200194
Number of -n..n arrays x(0..4) of 5 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
0, 24, 144, 506, 1298, 2794, 5300, 9220, 14974, 23094, 34120, 48712, 67524, 91346, 120950, 157254, 201146, 253672, 315838, 388820, 473738, 571896, 684534, 813084, 958900, 1123544, 1308488, 1515422, 1745934, 2001842, 2284852, 2596912, 2939842
Offset: 1
Some solutions for n=5:
..0...-2...-3...-5...-2...-2...-4...-4....0....0....2....2...-5....1...-4....1
.-3....2....4....4....2....5....2....1...-3...-2...-2...-4....4...-2....3...-4
..4...-4....0....0....0...-2...-5...-1....5....2....4....3...-3....2...-1....3
.-3....4....2....3....3....4....5....3...-5...-5...-5...-5....4...-4....4...-2
..2....0...-3...-2...-3...-5....2....1....3....5....1....4....0....3...-2....2
A200195
Number of -n..n arrays x(0..5) of 6 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
2, 54, 482, 2240, 7266, 18838, 41938, 83600, 153278, 263198, 428718, 668684, 1005790, 1466934, 2083578, 2892104, 3934174, 5257082, 6914122, 8964936, 11475878, 14520370, 18179258, 22541172, 27702886, 33769670, 40855654, 49084180
Offset: 1
Some solutions for n=5:
..1...-5...-5....3...-4....0....0...-2...-3....2....4....3...-4...-4...-1....0
.-5....0....4...-2....3...-5...-3....1...-1...-1...-4...-3....4....5...-3....4
..0...-5...-3....3...-1....4....5...-5...-4....4....4....3...-3...-5....5...-3
.-4....5....5...-4....4...-3...-3....5....4...-4...-4...-3....0....3...-5...-1
..5....1...-2....1...-5....3....3...-1...-1....3....1....5...-2...-2....5...-4
..3....4....1...-1....3....1...-2....2....5...-4...-1...-5....5....3...-1....4
A200196
Number of -n..n arrays x(0..6) of 7 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
Original entry on oeis.org
0, 104, 1534, 9856, 40632, 127800, 334278, 765598, 1585416, 3034396, 5450616, 9293800, 15170448, 23863548, 36362438, 53897896, 77976766, 110422568, 153414642, 209534448, 281809258, 373763982, 489469484, 633600106, 811486280
Offset: 1
Some solutions for n=5
.-3....1...-2....0...-2...-3....0...-1....3...-1...-1...-1....2...-4...-5...-2
..2...-1....0....3....5....4....3...-3...-1....4....1...-4....4....0....0...-5
.-5....4...-2...-4...-4...-4...-3....4....2...-4...-4....3...-4...-3...-2....3
..3...-4....5....5....1....5....1...-1...-3....4....3...-2...-1....5....3....1
.-3....2...-5...-5...-1...-2...-2....3....1...-3...-4....4...-4....1...-1....4
..5...-2....3....5....2....5....2...-2...-4....5....4...-5....4....3....4...-3
..1....0....1...-4...-1...-5...-1....0....2...-5....1....5...-1...-2....1....2
Showing 1-10 of 10 results.
Comments