A327326 a(n) = A006218(n) - A005187(n).
0, 0, 0, 1, 1, 2, 4, 5, 5, 7, 9, 10, 13, 14, 16, 19, 19, 20, 24, 25, 28, 31, 33, 34, 38, 40, 42, 45, 48, 49, 55, 56, 56, 59, 61, 64, 70, 71, 73, 76, 80, 81, 87, 88, 91, 96, 98, 99, 104, 106, 110, 113, 116, 117, 123, 126, 130, 133, 135, 136, 145, 146, 148, 153, 153, 156, 162, 163, 166, 169, 175, 176, 184
Offset: 0
Keywords
Programs
-
Mathematica
With[{nmax = 100}, Join[{0}, Accumulate[Table[DivisorSigma[0, n], {n, 1, nmax}]]] - Table[2*n - DigitCount[n, 2, 1], {n, 0, nmax}]] (* Amiram Eldar, Apr 18 2024 *)
Formula
a(n) ~ n * (log(n) + 2*gamma - 3), where gamma is Euler's constant (A001620). - Amiram Eldar, Apr 18 2024
Comments