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A023816 Sum of exponents in prime-power factorization of C(2n,n). 9
1, 2, 3, 3, 5, 5, 6, 6, 6, 6, 8, 7, 9, 11, 11, 9, 11, 11, 12, 12, 12, 12, 15, 13, 14, 15, 14, 14, 16, 15, 16, 15, 16, 16, 17, 15, 16, 18, 19, 17, 21, 20, 22, 22, 21, 22, 24, 22, 22, 23, 23, 22, 25, 23, 23, 22, 22, 23, 26, 25, 27, 28, 29, 25, 26, 25, 27, 29, 29, 28, 30, 28, 30, 32, 31, 30, 32, 32, 33 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
MAPLE
with(numtheory):a:=proc(n) if n=0 then 0 else bigomega(binomial(2*n, n)) fi end: seq(a(n), n=1..79); # Zerinvary Lajos, Apr 11 2008
MATHEMATICA
Table[Total[FactorInteger[Binomial[2 n, n]][[All, 2]]], {n, 79}] (* Ivan Neretin, Oct 26 2017 *)
CROSSREFS
Sequence in context: A262488 A278530 A330332 * A353714 A159237 A335599
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)