A239526 For 0<=n<=100, a(n) is the number of positive responses x such that x/N rounds to n%, minimized over sample size N.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 3, 2, 3, 4, 1, 5, 3, 5, 2, 3, 4, 6, 1, 10, 6, 4, 3, 3, 7, 2, 7, 5, 3, 4, 5, 6, 7, 10, 17, 1, 18, 11, 8, 7, 6, 5, 4, 7, 10, 3, 11, 5, 5, 7, 11, 19, 2, 13, 9, 7, 5, 13, 8, 14, 3, 13, 10, 7, 11, 4, 13, 9, 5, 16, 11, 6, 7, 7, 8, 9, 10, 11, 13, 15, 18, 22, 28, 39, 66, 1

Offset

0,16

Links

Table of n, a(n) for n=0..100.

Example

a(31)=4 because 4/13=0.31 (2DP).

Mathematica

Table[LinearProgramming[{1, 0}, {{-n/100 + 0.005, 1}, {n/100 + 0.005, -1}}, {0, 0}, {1, 1}, Integers], {n, 0, 100}] // Transpose // Last

Crossrefs

Cf. A239525 (Minimal sample sizes).

Sequence in context: A106590 A194074 A175469 * A371822 A194862 A194832

Adjacent sequences: A239523 A239524 A239525 * A239527 A239528 A239529

Keyword

fini,nonn,base

Author

Patrick D McLean, Mar 21 2014

Status

approved