A023854 - OEIS

A023854

Sum of exponents in prime-power factorization of binomial(6n, 3n).

3, 5, 6, 7, 11, 11, 12, 13, 14, 15, 16, 15, 19, 20, 21, 22, 23, 23, 22, 25, 29, 25, 29, 28, 31, 32, 30, 31, 34, 34, 35, 35, 36, 36, 38, 38, 41, 41, 41, 40, 46, 44, 43, 44, 44, 46, 47, 46, 47, 50, 51, 49, 53, 49, 52, 53, 53, 56, 55, 56, 60, 60, 61, 57, 61, 61, 61, 65, 66, 63, 67, 66, 69, 69, 66, 69, 71, 70, 72, 72

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OFFSET

1,1

LINKS

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

MATHEMATICA

Total[Transpose[FactorInteger[Binomial[6 #, 3 #]]][[2]]]&/@Range[80] (* Harvey P. Dale, May 14 2011 *)

CROSSREFS

Cf. A023852, A023853.

Sequence in context: A335911 A136804 A129802 * A324511 A360008 A092559

Adjacent sequences: A023851 A023852 A023853 * A023855 A023856 A023857

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected and extended by Harvey P. Dale, May 14 2011

STATUS

approved