id:A046659 - OEIS Search Results

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Sum of divisors and sum of cubes of divisors are relatively prime.

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1, 4, 9, 25, 36, 100, 121, 225, 289, 484, 529, 841, 900, 1089, 1156, 1681, 2116, 2209, 2601, 2809, 3364, 3481, 4356, 4761, 5041, 6724, 6889, 7225, 7569, 7921, 8836, 10201, 10404, 11236, 11449, 12769, 13225, 13924, 15129, 17161, 18769, 19044 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`It appears that (a) all the numbers are squares, (b) the number of divisors is a power of 3.` `It can be shown that this is a subset of A028982.`
	EXAMPLE	`x=100 with 9 divisors whose sum is 217=731 and sum of cubes of divisors is 1149823=1973*829; GCD[ 217,1149823 ]=1`
	CROSSREFS	`Cf. A028982, A046679 - A046981, A046983, A046985.` `Sequence in context: A062503 A063577 A087058 this_sequence A063760 A130448 A046451` `Adjacent sequences: A046656 A046657 A046658 this_sequence A046660 A046661 A046662`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu)`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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