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A279170 a(n) is the smallest among the natural numbers m with the property that there exists a non-constant quadratic map S^n -> S^m from the n-dimensional sphere to the m-dimensional sphere.

%I A279170 #8 Dec 21 2016 18:45:53
%S A279170 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,24,24,24,24,
%T A279170 24,24,24,32,32,32,32,32,32,32,32,32,32,40,40,40,40,40,40,48,48,48,48,
%U A279170 48,48,48,48,48,56,56,56,56,56,56,56,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,80,80,80,80,80,80,80,80,80,88,88,88,88,88,88,88,96,96,96,96,96
%N A279170 a(n) is the smallest among the natural numbers m with the property that there exists a non-constant quadratic map S^n -> S^m from the n-dimensional sphere to the m-dimensional sphere.
%C A279170 Coincides with A053644 until n=24.
%H A279170 P. Yiu, <a href="http://dx.doi.org/10.1007/BF02567607">Quadratic Forms between Euclidean Spheres</a>, Manuscripta Math. 83, pp. 171-181 (1994).
%F A279170 Uniquely determined by the following: a(2^t + m) = 2^t if 0 <= m < A003484(2^t); a(2^t + m) = 2^t + a(m) if A003484(2^t) <= m < 2^t.
%Y A279170 A003484 used in the definition. Cf. A053644.
%K A279170 nonn
%O A279170 1,2
%A A279170 _Mamuka Jibladze_, Dec 07 2016