A023816 - OEIS

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A023816

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

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; internal format)

	OFFSET	`1,2`
	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 (zerinvarylajos(AT)yahoo.com), Apr 11 2008`
	CROSSREFS	`Sequence in context: A117629 A081165 A087172 * A159237 A010761 A161172` `Adjacent sequences: A023813 A023814 A023815 * A023817 A023818 A023819`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`

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Last modified February 14 02:36 EST 2012. Contains 205567 sequences.