A023834 - OEIS

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A023834

Sum of exponents in prime-power factorization of C(4n,2n).

2, 3, 5, 6, 6, 7, 11, 9, 11, 12, 12, 13, 15, 14, 15, 15, 16, 15, 18, 17, 20, 22, 22, 22, 23, 22, 23, 22, 23, 25, 28, 25, 25, 29, 28, 28, 32, 30, 32, 31, 30, 31, 34, 34, 34, 34, 36, 35, 37, 34, 36, 38, 38, 38, 40, 38, 41, 42, 42, 40, 44, 46, 44, 43, 43, 44, 46, 42, 46, 47, 47, 46, 48, 47, 50, 51, 50

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

MATHEMATICA

Table[Total[FactorInteger[Binomial[4 n, 2 n]][[All, 2]]], {n, 77}] (* Ivan Neretin, Oct 26 2017 *)

CROSSREFS

Sequence in context: A309560 A128054 A175081 * A084735 A002734 A367417

Adjacent sequences: A023831 A023832 A023833 * A023835 A023836 A023837

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved