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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A296992 Largest number m such that n^m divides tau(n), where tau(n)=A000594(n) is Ramanujan's tau function. 4
 3, 2, 3, 1, 3, 1, 3, 2, 1, 0, 2, 0, 1, 1, 3, 0, 2, 0, 1, 2, 0, 0, 3, 1, 0, 2, 1, 0, 1, 0, 3, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 3, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Eric Weisstein's World of Mathematics, Tau Function. EXAMPLE tau(2) =   -24 and 2^3 divides   24, so a(2) = 3. tau(3) =   252 and 3^2 divides  252, so a(3) = 2. tau(4) = -1472 and 4^3 divides 1472, so a(4) = 3. MATHEMATICA f[n_] := Block[{m = 0}, While[Mod[RamanujanTau@n, n^m] == 0, m++]; m - 1]; Array[f, 93, 2] (* Robert G. Wilson v, Dec 23 2017 *) CROSSREFS Cf. A063938 (a(n)>=1), A296991 (a(n)>=2), A296993 (a(n)>=3). Cf. A191599 (a(n)=0), A297000 (a(n)=1), A297001 (a(n)=2). Sequence in context: A082391 A283977 A248579 * A304783 A316830 A345440 Adjacent sequences:  A296989 A296990 A296991 * A296993 A296994 A296995 KEYWORD nonn AUTHOR Seiichi Manyama, Dec 22 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 19 09:16 EST 2022. Contains 350464 sequences. (Running on oeis4.)