id:A073395 - OEIS Search Results

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Product of sums of prime factors of n: with and without repetition.

+0
2

0, 4, 9, 8, 25, 25, 49, 12, 18, 49, 121, 35, 169, 81, 64, 16, 289, 40, 361, 63, 100, 169, 529, 45, 50, 225, 27, 99, 841, 100, 961, 20, 196, 361, 144, 50, 1369, 441, 256, 77, 1681, 144, 1849, 195, 88, 625, 2209, 55, 98, 84, 400, 255, 2809, 55, 256, 117, 484 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = A008472(n)A001414(n);` `a(m) is a square for all square-free numbers m,` `and a(p^k)=kp^2 for primes p.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..10000`
	EXAMPLE	`a(15) = (3+5)(3+5) = 88 = 64 (n square-free); a(16) = (2)(2+2+2+2) = 28 = 16 (n prime-power); a(17) = (17)(17) = 289 (n prime); a(18) = (2+3)(2+3+3) = 5*8 = 40.`
	CROSSREFS	`Cf. A073396.` `Sequence in context: A067666 A050399 A072995 this_sequence A064549 A087687 A021671` `Adjacent sequences: A073392 A073393 A073394 this_sequence A073396 A073397 A073398`
	KEYWORD	`nonn,nice`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 30 2002`

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.

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