A023833 Sum of exponents in prime-power factorization of C(4n,n+3).

0, 4, 5, 7, 6, 8, 8, 11, 11, 12, 11, 12, 10, 15, 13, 17, 15, 17, 16, 18, 18, 20, 17, 20, 19, 21, 21, 21, 18, 22, 20, 26, 22, 26, 25, 27, 25, 28, 28, 30, 29, 31, 30, 31, 28, 28, 27, 33, 30, 33, 31, 33, 30, 35, 30, 34, 33, 35, 36, 35, 33, 37, 37, 42, 38, 41, 39, 42, 41, 44, 39, 45, 42, 45, 46, 45, 44

Offset

1,2

Links

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

Mathematica

Join[{0}, Total[Transpose[FactorInteger[#]][[2]]]&/@Table[Binomial[4n, n+3], {n, 2, 80}]] (* Harvey P. Dale, Dec 24 2014 *)

Crossrefs

Sequence in context: A104140 A003563 A336753 * A151551 A021690 A109896

Adjacent sequences: A023830 A023831 A023832 * A023834 A023835 A023836

Keyword

nonn

Author

Clark Kimberling

Status

approved