id:A023826 - OEIS Search Results

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

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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 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Also sum of exponents of primes in multinomial coefficient M(4n; n,n,n,n)/M(3n; n,n,n).`
	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 (zerinvarylajos(AT)yahoo.com), Apr 11 2008`
	CROSSREFS	`Sequence in context: A091995 A066937 A120750 this_sequence A080688 A082025 A076034` `Adjacent sequences: A023823 A023824 A023825 this_sequence A023827 A023828 A023829`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.

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