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

0,9

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

Mathematica

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

Prog

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

Crossrefs

Cf. A000110, A007949.

Sequence in context: A202717 A291195 A025439 * A116852 A269245 A321886

Adjacent sequences: A227837 A227838 A227839 * A227841 A227842 A227843

Keyword

nonn

Author

N. J. A. Sloane, Aug 05 2013

Status

approved