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A187595 Bernoulli-Kervaire-Milnor numbers. 3

%I #26 Jun 22 2021 12:42:01

%S 1,1,1,1,1,1,28,1,2,1,992,1,1,1,8128,1,2,1,261632,1,2,1,1448424448,1,

%T 2,1,67100672,1,1,1,1941802827776,1,2,1,753623571759104,1,2,1,

%U 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

%N Bernoulli-Kervaire-Milnor numbers.

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

%C |b_n| in Milnor 2011 Table 2 (explained in Further Details p. 807). - _Jonathan Sondow_, Jun 16 2011

%C 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

%H Michel A. Kervaire and John W. Milnor, <a href="http://www.dtic.mil/cgi-bin/GetTRDoc?AD=AD273464&amp;Location=U2&amp;doc=GetTRDoc.pdf">Groups of homotopy spheres: I, December 1961</a>.

%H Michel A. Kervaire and John W. Milnor, <a href="https://www.jstor.org/stable/1970128">Groups of homotopy spheres: I</a>, Annals of Mathematics, Second Series, Vol. 77, No. 3 (1963), pp. 504-537; <a href="http://www.uni-math.gwdg.de/schick/publ/Groups%20of%20homotopy%20spheres%20I.pdf">alternative link</a>.

%H John W. Milnor, <a href="http://www.ams.org/notices/201106/rtx110600804p.pdf">Differential Topology Forty-six Years Later</a>, Notices Amer. Math. Soc., Vol. 58, No. 6 (2011), pp. 804-809.

%H John W. Milnor, <a href="http://www.abelprisen.no/no/multimedia/2011/">Spheres</a>, Abel Prize lecture (video), 2011.

%H Georgios Dimitroglou Rizell and Jonathan David Evans, <a href="https://doi.org/10.1112/jtopol/jtv007">Exotic spheres and the topology of symplectomorphism groups</a>, J. Topol., Vol. 8, No. 2 (2015), pp. 586-602.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Exotic_sphere">Exotic sphere</a>.

%Y Cf. A001676.

%K nonn

%O 1,7

%A _Paul Muljadi_, Mar 11 2011

%E More terms from _Jonathan Sondow_, Jun 16 2011.

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)