A098934 Numbers n such that the sum of the first n digits of Pi are divisible by n.

1, 2, 9, 11, 16

Offset

1,2

Comments

For large n, A046974(n-1)/n is very close to 4.5, so is never an integer. - David Wasserman, Feb 27 2008

Links

Table of n, a(n) for n=1..5.

Example

a[1] = 1 since 3 is divisible by 1.
a[2] = 2 since 3 + 1 = 4 is divisible by 2.
a[3] != 3 since 3 + 1 + 4 = 8 is not divisible by 3.

Mathematica

$MaxPrecision = 2500000; pd = RealDigits[N[Pi, 2000000]][[1]]; s = 0; Do[s = s + pd[[n]]; If[ Mod[s, n] == 0, Print[n]], {n, 2000000}] (* Robert G. Wilson v, Oct 21 2004 *)

Crossrefs

Cf. A046974.

Sequence in context: A034042 A138759 A345925 * A237877 A043307 A049343

Adjacent sequences: A098931 A098932 A098933 * A098935 A098936 A098937

Keyword

base,easy,fini,full,nonn

Author

Anne M. Donovan (anned3005(AT)aol.com), Oct 20 2004

Status

approved