A023838 Sum of exponents in prime-power factorization of C(5n,n-1).

0, 2, 3, 5, 5, 7, 8, 9, 8, 10, 10, 12, 14, 13, 15, 14, 14, 16, 14, 17, 17, 18, 18, 21, 18, 22, 24, 23, 23, 24, 24, 24, 23, 23, 24, 25, 24, 26, 28, 29, 25, 30, 27, 29, 33, 30, 30, 32, 32, 33, 33, 37, 37, 38, 38, 37, 36, 40, 39, 44, 39, 41, 40, 39, 37, 39, 38, 39, 42, 41, 44, 44, 43, 43, 44, 46, 48, 49

Offset

1,2

Links

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

Mathematica

Join[{0}, Table[Total[Transpose[FactorInteger[Binomial[5 n, n-1]]] [[2]]], {n, 2, 80}]] (* Harvey P. Dale, Dec 31 2012 *)

Crossrefs

Sequence in context: A163867 A077381 A225636 * A246795 A089625 A092391

Adjacent sequences: A023835 A023836 A023837 * A023839 A023840 A023841

Keyword

nonn

Author

Clark Kimberling

Status

approved