id:A076558 - OEIS Search Results

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a(n) = r * min(e_1, ..., e_r), where n = p_1^e_1 . .... p_r^e_r is the canonical prime factorization of n.

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1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 2, 1, 2, 2, 4, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 6, 2, 3, 1, 2, 2, 3, 1, 4, 1, 2, 2, 2, 2, 3, 1, 2, 4, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 4 (list; graph; listen)

	OFFSET	`2,3`
	COMMENT	`Omega(n) >= a(n) for n > 1, where Omega(n) = the number of prime factors of n, counting multiplicity.`
	LINKS	`C. Rivera, Puzzle #201 The Arithmetic Function A(n) in "The Prime Puzzles and Problems Connection".`
	MATHEMATICA	`a[n_] := Module[{pf}, pf = Transpose[FactorInteger[n]]; Length[pf[[1]]]*Min[pf[[2]]]]; Table[a[i], {i, 2, 100}]`
	CROSSREFS	`Cf. A076526.` `Sequence in context: A107456 A077480 A059829 this_sequence A057217 A055181 A073811` `Adjacent sequences: A076555 A076556 A076557 this_sequence A076559 A076560 A076561`
	KEYWORD	`easy,nonn`
	AUTHOR	`Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Nov 10 2002`

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Last modified September 5 17:15 EDT 2008. Contains 143476 sequences.

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