A308530 The number of largely composite numbers (A067128) having the same number of divisors as the n-th highly composite number A002182(n).
1, 2, 1, 3, 3, 2, 1, 1, 6, 2, 1, 2, 9, 1, 2, 2, 2, 8, 1, 2, 3, 2, 1, 1, 9, 1, 1, 3, 2, 5, 2, 2, 2, 8, 1, 2, 1, 6, 3, 6, 2, 2, 1, 6, 1, 1, 1, 5, 1, 3, 8, 1, 2, 5, 3, 10, 1, 2, 2, 4, 2, 3, 8, 2, 1, 6, 4, 11, 1, 1, 2, 2, 4, 2, 2, 6, 2, 4, 4, 8, 1, 5, 2, 1, 3, 4
Offset: 1
Keywords
Examples
a(4) = 3 since there are 3 largely composite numbers with the same number of divisors as the 4th highly composite number 6: 6, 8, and 10.
Links
- Michael De Vlieger, Table of n, a(n) for n = 1..783
Programs
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Mathematica
s = {}; dm = 1; c = 0; Do[d = DivisorSigma[0, n]; If[d == dm, c++]; If[d > dm, dm = d; AppendTo[s, c]; c = 1], {n, 1, 10^8}]; s