A187595 Bernoulli-Kervaire-Milnor numbers.

1, 1, 1, 1, 1, 1, 28, 1, 2, 1, 992, 1, 1, 1, 8128, 1, 2, 1, 261632, 1, 2, 1, 1448424448, 1, 2, 1, 67100672, 1, 1, 1, 1941802827776, 1, 2, 1, 753623571759104, 1, 2, 1, 23998307331473408, 1, 2, 1, 341653284209033216, 1, 2, 1, 8316321134799694594048, 1, 2, 1, 740764429532373450752, 1, 2, 1, 30559446583872811817762816, 1, 2, 1, 496669433444154134078771167232, 1, 1, 1, 17776484020396435145889494859776

Offset

1,7

Comments

|bP_(n+1)| in 1961 Kervaire-Milnor theorem.

|b_n| in Milnor 2011 Table 2 (explained in Further Details p. 807). - Jonathan Sondow, Jun 16 2011

Named after the Swiss mathematician Jacob Bernoulli (1655-1705), the French mathematician Michel André Kervaire (1927-2007) and the American mathematician John Willard Milnor (b. 1931). - Amiram Eldar, Jun 22 2021

Links

Table of n, a(n) for n=1..63.

Michel A. Kervaire and John W. Milnor, Groups of homotopy spheres: I, December 1961.

Michel A. Kervaire and John W. Milnor, Groups of homotopy spheres: I, Annals of Mathematics, Second Series, Vol. 77, No. 3 (1963), pp. 504-537; alternative link.

John W. Milnor, Differential Topology Forty-six Years Later, Notices Amer. Math. Soc., Vol. 58, No. 6 (2011), pp. 804-809.

John W. Milnor, Spheres, Abel Prize lecture (video), 2011.

Georgios Dimitroglou Rizell and Jonathan David Evans, Exotic spheres and the topology of symplectomorphism groups, J. Topol., Vol. 8, No. 2 (2015), pp. 586-602.

Wikipedia, Exotic sphere.

Crossrefs

Cf. A001676.

Sequence in context: A176641 A040796 A040797 * A040795 A040794 A040793

Adjacent sequences: A187592 A187593 A187594 * A187596 A187597 A187598

Keyword

nonn

Author

Paul Muljadi, Mar 11 2011

Extensions

More terms from Jonathan Sondow, Jun 16 2011.

Status

approved