A227840 3^a(n) is the highest power of 3 dividing A000110(n).

0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1

Offset: 0

Author

N. J. A. Sloane, Aug 05 2013

Keywords

• nonn

Comments

This is the 3-adic valuation of the Bell numbers A000110.

The 2-adic valuation is less interesting: 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, ...

Links

• Amiram Eldar, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000110, A007949.

Programs

Magma

[Valuation(Bell(n), 3): n in [0..110]]; // Bruno Berselli, Aug 05 2013

Mathematica

Table[IntegerExponent[BellB[n], 3], {n, 0, 100}] (* Amiram Eldar, Nov 23 2019 *)