A194699 -id:A194699 - cp's OEIS frontend

A194698 a(n) = floor((n - 1)/12) - floor((n^2 - 1)/(24*n)).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4

Offset: 1

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Omar E. Pol, Jan 18 2012

nonn
easy

A similar formula for prime indices is mentioned in the abstract of the Folson-Kent-Ono paper (See A194699).

Cf. A000041, A194699.

Table[Floor[(n-1)/12]-Floor[(n^2-1)/(24n)],{n,90}] (* Harvey P. Dale, Oct 23 2021 *)

cp's OEIS Frontend

A194698 a(n) = floor((n - 1)/12) - floor((n^2 - 1)/(24*n)).

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