A023822 Sum of exponents in prime-power factorization of C(3n,n-3).

0, 3, 3, 6, 5, 7, 7, 10, 9, 10, 9, 12, 9, 12, 12, 14, 13, 15, 12, 19, 15, 17, 17, 18, 18, 20, 19, 20, 16, 21, 20, 23, 20, 21, 20, 23, 18, 23, 21, 25, 26, 27, 27, 30, 27, 28, 28, 31, 27, 31, 27, 33, 31, 33, 31, 32, 31, 33, 31, 34, 30, 36, 34, 34, 31, 33, 31, 37, 32, 35, 34, 37, 36, 37, 37, 39, 35, 37

Offset

3,2

Links

Ivan Neretin, Table of n, a(n) for n = 3..10000

Mathematica

Join[{0}, Table[Total[FactorInteger[Binomial[3 n, n - 3]][[All, 2]]], {n, 4, 80}]] (* Ivan Neretin, Nov 02 2017 *)

Crossrefs

Sequence in context: A132119 A180681 A286102 * A318514 A355413 A369857

Adjacent sequences: A023819 A023820 A023821 * A023823 A023824 A023825

Keyword

nonn

Author

Clark Kimberling

Extensions

Offset corrected to 3 by Ivan Neretin, Nov 02 2017

Status

approved