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A023826
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Sum of exponents in prime-power factorization of C(4n,n).
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1
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2, 3, 4, 5, 7, 6, 9, 9, 10, 10, 9, 9, 13, 14, 14, 14, 15, 15, 15, 16, 19, 16, 19, 18, 21, 20, 18, 19, 21, 21, 22, 22, 23, 25, 24, 24, 27, 26, 28, 26, 30, 28, 28, 29, 28, 28, 30, 30, 31, 31, 31, 31, 35, 30, 31, 31, 32, 34, 33, 33, 38, 39, 39, 37, 39, 38, 39, 40, 43, 40, 41, 41, 44, 44, 43, 44, 46, 45
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OFFSET
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1,1
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COMMENTS
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Also sum of exponents of primes in multinomial coefficient M(4n; n,n,n,n)/M(3n; n,n,n).
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LINKS
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MAPLE
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with(numtheory):a:=proc(n) if n=0 then 0 else bigomega(binomial(4*n, n)) fi end: seq(a(n), n=1..78); # Zerinvary Lajos, Apr 11 2008
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MATHEMATICA
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Table[Total[FactorInteger[Binomial[4 n, n]][[All, 2]]], {n, 78}] (* Ivan Neretin, Nov 02 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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