oeis.langford.find_pairings(15, 0, 100000000, 10)
| index | permutation | sequence |
|---|---|---|
| 20184472 | (1, 2, 3, 4, 10, 11, 12, 9, 14, 15, 13, 7, 8, 5, 6) | 1 2 1 3 2 4 10 3 11 12 4 9 14 15 13 7 8 10 5 6 11 9 12 7 5 8 6 14 13 15 |
| 20184477 | (1, 2, 3, 4, 10, 11, 12, 9, 14, 15, 13, 8, 6, 7, 5) | 1 2 1 3 2 4 10 3 11 12 4 9 14 15 13 8 6 10 7 5 11 9 12 6 8 5 7 14 13 15 |
| 20185072 | (1, 2, 3, 4, 10, 11, 12, 9, 15, 13, 14, 7, 8, 5, 6) | 1 2 1 3 2 4 10 3 11 12 4 9 15 13 14 7 8 10 5 6 11 9 12 7 5 8 6 13 15 14 |
| 20185077 | (1, 2, 3, 4, 10, 11, 12, 9, 15, 13, 14, 8, 6, 7, 5) | 1 2 1 3 2 4 10 3 11 12 4 9 15 13 14 8 6 10 7 5 11 9 12 6 8 5 7 13 15 14 |
| 20189434 | (1, 2, 3, 4, 10, 11, 12, 13, 14, 15, 6, 7, 9, 5, 8) | 1 2 1 3 2 4 10 3 11 12 4 13 14 15 6 7 9 10 5 8 11 6 12 7 5 13 9 14 8 15 |
| 20189475 | (1, 2, 3, 4, 10, 11, 12, 13, 14, 15, 8, 5, 7, 9, 6) | 1 2 1 3 2 4 10 3 11 12 4 13 14 15 8 5 7 10 9 6 11 5 12 8 7 13 6 14 9 15 |
| 20189496 | (1, 2, 3, 4, 10, 11, 12, 13, 14, 15, 9, 5, 6, 7, 8) | 1 2 1 3 2 4 10 3 11 12 4 13 14 15 9 5 6 10 7 8 11 5 12 6 9 13 7 14 8 15 |
| 20190099 | (1, 2, 3, 4, 10, 11, 12, 13, 15, 9, 14, 5, 7, 8, 6) | 1 2 1 3 2 4 10 3 11 12 4 13 15 9 14 5 7 10 8 6 11 5 12 9 7 13 6 8 15 14 |
| 20193116 | (1, 2, 3, 4, 10, 11, 12, 14, 8, 15, 13, 9, 6, 5, 7) | 1 2 1 3 2 4 10 3 11 12 4 14 8 15 13 9 6 10 5 7 11 8 12 6 5 9 14 7 13 15 |
| 20194893 | (1, 2, 3, 4, 10, 11, 12, 14, 15, 7, 9, 13, 6, 8, 5) | 1 2 1 3 2 4 10 3 11 12 4 14 15 7 9 13 6 10 8 5 11 7 12 6 9 5 14 8 15 13 |
oeis.langford.count_pairings(15, 0, 100000000)
5093
oeis.langford.count_pairings(15, 100000000, 200000000)
8151
oeis.langford.count_pairings(15, 200000000, 300000000)
8830
oeis.langford.count_pairings(15, 300000000, 400000000)
9742
oeis.langford.count_pairings(15, 400000000, 500000000)
9046
oeis.langford.estimate_pairings(15, 2, 100000000)
0.00006048
oeis.langford.pairing_ratio(15, 2, 100000000)
0.5047123426466554
oeis.langford.pairing_ratio(15, 5, 100000000)
0.7951888311610957
oeis.langford.pairing_ratio(15, 10, 100000000)
0.8949487650770014
oeis.langford.pairing_ratio(15, 20, 100000000)
0.9529011731807673
oeis.langford.pairing_ratio(15, 50, 100000000)
0.983297239973353
oeis.langford.pairing_ratio(15, 100, 100000000)
0.9877251751369568
oeis.langford.pairing_ratio(15, 200, 100000000)
0.9931106348555977
oeis.langford.pairing_ratio(15, 500, 100000000)
0.9980345775931658
oeis.langford.pairing_ratio(15, 1000, 100000000)
0.9988319672526353
oeis.langford.pairing_density(15, 2, 100000000)
mean
0.000029645
variance
0.000014822597332718805
oeis.langford.pairing_density(15, 5, 100000000)
mean
0.000048672
variance
0.000010084180323134209
oeis.langford.pairing_density(15, 10, 100000000)
mean
0.000054801000000000006
variance
0.000005931533938972207
oeis.langford.pairing_density(15, 20, 100000000)
mean
0.000057346
variance
0.0000032377240014438894
oeis.langford.pairing_density(15, 50, 100000000)
mean
0.000059609600000000006
variance
0.0000014855923400671633
oeis.langford.pairing_density(15, 100, 100000000)
mean
0.0000602765
variance
0.0000008075161233168073
oeis.langford.pairing_density(15, 200, 100000000)
mean
0.00006040765
variance
0.00000045755989937563114
oeis.langford.pairing_density(15, 500, 100000000)
mean
0.00006080464
variance
0.0000002196186445973146
oeis.langford.pairing_density(15, 1000, 100000000)
mean
0.00006077639
variance
0.00000013479845381755026