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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

Table of n, a(n) for n=2..94.

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 A283976

Adjacent sequences:  A296989 A296990 A296991 * A296993 A296994 A296995

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Dec 22 2017

STATUS

approved

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Last modified September 19 23:59 EDT 2019. Contains 327207 sequences. (Running on oeis4.)