A393459 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.

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

Offset

0,1

Comments

See Rechnitzer (2026) for details.

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

Links

Table of n, a(n) for n=0..90.

Andrew Rechnitzer, The first 128 digits of an autoconvolution inequality, arXiv:2602.07292 [math.NT], 7 Feb 2026.

Example

0.574639607151519592727255427527052971437...

Crossrefs

Sequence in context: A293843 A240946 A343039 * A021178 A201506 A344388

Adjacent sequences: A393456 A393457 A393458 * A393460 A393461 A393462

Keyword

nonn,cons

Author

Hugo Pfoertner, Feb 15 2026

Status

approved