A243290 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A243290

The index of the greatest prime dividing the n-th squarefree number: a(n) = A061395(A005117(n)).

0, 1, 2, 3, 2, 4, 3, 5, 6, 4, 3, 7, 8, 4, 5, 9, 6, 10, 3, 11, 5, 7, 4, 12, 8, 6, 13, 4, 14, 9, 15, 7, 16, 5, 8, 10, 17, 18, 11, 6, 5, 19, 9, 4, 20, 21, 12, 5, 6, 22, 13, 23, 7, 14, 10, 24, 6, 11, 15, 8, 25, 26, 7, 27, 4, 16, 28, 29, 5, 12

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A061395(A005117(n)) = A049084(A006530(A005117(n))).

For all n>1, a(n) = A070939(A048672(n)).

MATHEMATICA

Table[PrimePi[FactorInteger[k][[-1, 1]]], {k, Select[Range[120], SquareFreeQ]}] (* Amiram Eldar, Mar 04 2024 *)

CROSSREFS

Cf. A005117, A006530, A061395, A049084, A048672, A070939, A243289.

Sequence in context: A026400 A026409 A336215 * A085238 A214371 A026338

Adjacent sequences: A243287 A243288 A243289 * A243291 A243292 A243293

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 03 2014

STATUS

approved