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A023837 Sum of exponents in prime-power factorization of C(5n,n). 1
1, 3, 3, 4, 6, 7, 8, 8, 7, 9, 12, 11, 14, 13, 14, 12, 15, 14, 15, 18, 17, 17, 19, 18, 17, 23, 22, 21, 25, 23, 26, 21, 23, 22, 24, 23, 24, 27, 27, 27, 27, 29, 27, 28, 31, 30, 33, 28, 31, 32, 33, 36, 38, 36, 38, 37, 35, 39, 40, 41, 41, 41, 39, 34, 38, 38, 38, 39, 41, 39, 46, 41, 43, 45, 43, 45, 48, 47 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

MAPLE

with(numtheory):a:=proc(n) if n=0 then 0 else bigomega(binomial(5*n, n)) fi end: seq(a(n), n=1..78); # Zerinvary Lajos, Apr 11 2008

MATHEMATICA

Table[PrimeOmega[Binomial[5 n, n]], {n, 78}] (* Ivan Neretin, Nov 08 2017 *)

CROSSREFS

Sequence in context: A161019 A137901 A138095 * A240115 A196249 A241036

Adjacent sequences:  A023834 A023835 A023836 * A023838 A023839 A023840

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified September 25 15:31 EDT 2020. Contains 337344 sequences. (Running on oeis4.)