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

Author

Paul Muljadi, Mar 11 2011

Keywords

• nonn

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

• 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.

Extensions

More terms from Jonathan Sondow, Jun 16 2011.