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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

(list; graph; refs; listen; history; text; internal format)

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

PROG

(Python)

from itertools import count