id:A023819 - OEIS Search Results

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Sum of exponents in prime-power factorization of C(3n,n).

+0
2

1, 2, 4, 4, 4, 6, 8, 6, 7, 8, 11, 11, 11, 11, 12, 10, 12, 11, 15, 13, 13, 18, 18, 17, 16, 17, 19, 17, 18, 19, 22, 18, 18, 20, 21, 19, 21, 22, 23, 22, 21, 23, 28, 27, 27, 28, 30, 27, 28, 26, 28, 29, 28, 31, 32, 29, 31, 31, 35, 32, 33, 35, 34, 31, 30, 31, 34, 31, 32, 35, 36, 33, 34, 35, 38, 37, 36, 36 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Equivalently, sum of exponents of primes in multinomial coefficient M(3n; n,n,n)/C(2n,n).`
	MAPLE	`with(numtheory):(combinat):a:=proc(n) if n=0 then 0 else bigomega(binomial(3*n, n)) fi end: seq(a(n), n=1..78); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 11 2008`
	CROSSREFS	`Sequence in context: A050829 A033825 A023988 this_sequence A033827 A008217 A043552` `Adjacent sequences: A023816 A023817 A023818 this_sequence A023820 A023821 A023822`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`
	EXTENSIONS	`Edited by njas at the suggestion of R. J. Mathar, May 31 2008`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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