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A355140
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n/d(n) rounded to the nearest integer, where d(n) is the number of divisors of n (A000005).
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1
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1, 1, 2, 1, 3, 2, 4, 2, 3, 3, 6, 2, 7, 4, 4, 3, 9, 3, 10, 3, 5, 6, 12, 3, 8, 7, 7, 5, 15, 4, 16, 5, 8, 9, 9, 4, 19, 10, 10, 5, 21, 5, 22, 7, 8, 12, 24, 5, 16, 8, 13, 9, 27, 7, 14, 7, 14, 15, 30, 5, 31, 16, 11, 9, 16, 8, 34, 11, 17, 9, 36, 6, 37, 19, 13, 13, 19
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OFFSET
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1,3
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COMMENTS
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In the ambiguous case, fractions are rounded up.
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LINKS
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FORMULA
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EXAMPLE
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a(1) = round (1 / 1) = 1;
a(4) = round (4 / 3) = 1;
a(5) = round (5 / 2) = 3;
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MATHEMATICA
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Table[Floor[n/DivisorSigma[0, n]+1/2], {n, 100}] (* Harvey P. Dale, Dec 22 2022 *)
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PROG
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(Python)
from sympy import divisor_count
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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