A393459 - OEIS

%I #15 Feb 26 2026 07:28:23

%S 5,7,4,6,3,9,6,0,7,1,5,1,5,1,9,5,9,2,7,2,7,2,5,5,4,2,7,5,2,7,0,5,2,9,

%T 7,1,4,3,7,0,2,6,3,6,9,3,7,3,1,5,6,6,1,1,6,3,0,8,7,6,7,4,8,9,2,5,5,2,

%U 1,6,1,8,1,7,8,9,8,8,8,2,2,4,0,7,8,2,4,7,5,5,7

%N Decimal expansion of nu_2^2, which is the infimum of f over all unit mass functions in L^1(-1/2,1/2) Integral_{x=-1..1} (f(x)*f(x))^2 dx.

%C See Rechnitzer (2026) for details.

%C This quantity arises in additive combinatorics, particularly in the study of Sidon sets.

%H Andrew Rechnitzer, <a href="https://arxiv.org/abs/2602.07292">The first 128 digits of an autoconvolution inequality</a>, arXiv:2602.07292 [math.NT], 7 Feb 2026.

%e 0.574639607151519592727255427527052971437...

%K nonn,cons

%O 0,1

%A _Hugo Pfoertner_, Feb 15 2026