A023853 Sum of exponents in prime-power factorization of binomial(6n, 2n).

2, 4, 6, 6, 8, 11, 11, 10, 11, 13, 18, 17, 17, 17, 19, 18, 20, 19, 22, 22, 23, 27, 28, 27, 26, 29, 31, 29, 31, 32, 35, 31, 31, 31, 35, 33, 35, 37, 36, 36, 37, 39, 43, 42, 43, 46, 47, 43, 44, 45, 48, 47, 46, 50, 53, 51, 52, 53, 57, 55, 55, 56, 56, 51, 52, 54, 56, 56, 55, 58, 62, 58, 59, 60, 61, 62

Offset

1,1

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Mathematica

Table[Total[Transpose[FactorInteger[Binomial[6 n, 2 n]]] [[2]]], {n, 80}] (* Harvey P. Dale, Jun 28 2011 *)

Crossrefs

Cf. A023852, A023854.

Sequence in context: A347376 A260812 A003972 * A056526 A049066 A151688

Adjacent sequences: A023850 A023851 A023852 * A023854 A023855 A023856

Keyword

nonn

Author

Clark Kimberling

Status

approved