A279519 -id:A279519 - cp's OEIS frontend

A280799 a(n) = A049502(phi(n)).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 0, 3, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 2, 0, 0, 4, 0, 6, 3, 0, 3, 4, 0, 6, 3, 0, 0, 3, 2, 4, 0, 3, 0, 2, 0, 0, 0, 3, 0, 0, 3, 2, 0, 4, 0, 3, 0, 4, 3, 4, 3, 0, 0, 4, 0, 3, 4, 7, 0, 0, 6, 0, 4, 5, 0, 4, 4, 0, 4, 4, 0, 0, 6, 0, 4, 3, 0, 3, 0, 0, 3, 6, 3, 4

Offset: 1

Indranil Ghosh, Jan 08 2017

nonn

a(n) = Major index (2nd definition) of the total numbers <=n and prime to n i.e., phi(n).

			For n = 11, phi(n) = 10 and major index (2nd definition) of 10 = 2. So a(n) = 2.

Indranil Ghosh, Table of n, a(n) for n = 1..10000
Indranil Ghosh, Python Program to generate the sequence

Cf. A000010, A049502, A279519, A280062, A280726.

a(n) = A049502(A000010(n)).

A280306 a(n) = A049501(A003418(n)).

Original entry on oeis.org

0, 0, 1, 2, 2, 4, 4, 13, 13, 16, 16, 28, 28, 46, 46, 46, 46, 77, 77, 48, 48, 48, 48, 117, 117, 141, 141, 134, 134, 213, 213, 326, 326, 326, 326, 326, 326, 352, 352, 352, 352, 389, 389, 413, 413, 413, 413, 508, 508

Offset: 0

Indranil Ghosh, Dec 31 2016

This calculates the major index (1st definition) of the LCM of all the numbers from 1 to n.

			For n=10, the LCM of all the numbers from 1 to 10 is 2520 = 100111011000_2, whose major index (1st definition) is 16, so a(10)=16.

Indranil Ghosh, Table of n, a(n) for n = 0..10000
Indranil Ghosh, Python Program to generate the sequence

Cf. A049501, A003418, A279519.

cp's OEIS Frontend

A280799 a(n) = A049502(phi(n)).

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