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A023852 Sum of exponents in prime-power factorization of binomial(6n, n). 3
2, 3, 6, 5, 7, 9, 9, 8, 10, 10, 14, 13, 12, 15, 16, 15, 16, 16, 19, 16, 18, 22, 24, 22, 23, 21, 23, 22, 22, 24, 25, 25, 24, 25, 28, 25, 27, 28, 28, 26, 31, 30, 38, 36, 33, 38, 38, 37, 35, 36, 38, 33, 33, 37, 38, 36, 39, 37, 43, 39, 41, 43, 46, 42, 40, 41, 45, 46, 43, 47, 46, 45, 46, 47, 49, 47, 45 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

a(n) = A001222(A004355(n)). - Michel Marcus, Nov 10 2017

MAPLE

with(numtheory):a:=proc(n) if n=0 then 0 else bigomega(binomial(6*n, n)) fi end: seq(a(n), n=1..77); # Zerinvary Lajos, Apr 11 2008

MATHEMATICA

Table[PrimeOmega[Binomial[6 n, n]], {n, 77}] (* Ivan Neretin, Nov 09 2017 *)

PROG

(PARI) a(n) = bigomega(binomial(6*n, n)); \\ Michel Marcus, Nov 10 2017

CROSSREFS

Cf. A001222, A004355.

Cf. A023853, A023854.

Sequence in context: A087786 A210468 A080950 * A048750 A326136 A276081

Adjacent sequences:  A023849 A023850 A023851 * A023853 A023854 A023855

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified January 27 17:58 EST 2020. Contains 331296 sequences. (Running on oeis4.)