A023826 Sum of exponents in prime-power factorization of C(4n,n).

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

Offset

1,1

Comments

Also sum of exponents of primes in multinomial coefficient M(4n; n,n,n,n)/M(3n; n,n,n).

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(4*n, n)) fi end: seq(a(n), n=1..78); # Zerinvary Lajos, Apr 11 2008

Mathematica

Table[Total[FactorInteger[Binomial[4 n, n]][[All, 2]]], {n, 78}] (* Ivan Neretin, Nov 02 2017 *)

Crossrefs

Sequence in context: A185975 A232639 A232638 * A283192 A369282 A266638

Adjacent sequences: A023823 A023824 A023825 * A023827 A023828 A023829

Keyword

nonn

Author

Clark Kimberling

Status

approved