A268568
Number of immersions of oriented circle into oriented sphere with n double points and no simple loop.
Original entry on oeis.org
0, 0, 1, 1, 2, 9, 29, 133, 594, 2864
Offset: 1
A268569
Number of immersions of unoriented circle into oriented sphere with n double points and no simple loop.
Original entry on oeis.org
0, 0, 1, 1, 2, 6, 19, 74, 320, 1469
Offset: 1
A268571
Number of immersions of unoriented circle into unoriented sphere with n double points and no simple loop.
Original entry on oeis.org
0, 0, 1, 1, 2, 5, 16, 52, 205, 863
Offset: 1
- Robert Coquereaux and Jean-Bernard Zuber, Maps, immersions and permutations, Journal of Knot Theory and Its Ramifications, Vol. 25, No. 8 (2016), 1650047; arXiv preprint, arXiv:1507.03163 [math.CO], 2015-2016. See Table 6.
- Guy Valette, A Classification of Spherical Curves Based on Gauss Diagrams, Arnold Math. J. (2016) 2:383-405. See Table 7.
A268570
Number of immersions of oriented circle into unoriented sphere with n double points and no simple loop.
Original entry on oeis.org
0, 0, 1, 1, 2, 5, 18, 70, 313, 1440
Offset: 1
A268573
Number of irreducible indecomposable bicolored immersions of unoriented circle into oriented sphere with n double points.
Original entry on oeis.org
0, 0, 2, 1, 4, 6, 24, 73, 322, 1274
Offset: 1
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