id:A088827 - OEIS Search Results

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Even numbers with odd abundance: even squares or two times squares. Sigma[n]-2n=odd means that sigma[n] is also odd.

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2, 4, 8, 16, 18, 32, 36, 50, 64, 72, 98, 100, 128, 144, 162, 196, 200, 242, 256, 288, 324, 338, 392, 400, 450, 484, 512, 576, 578, 648, 676, 722, 784, 800, 882, 900, 968, 1024, 1058, 1152, 1156, 1250, 1296, 1352, 1444, 1458, 1568, 1600, 1682, 1764, 1800, 1922 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Odd numbers with odd abundance are in A016754. Odd numbers with odd abundance are in A088828. Even numbers with even abundance are in A088829.`
	MATHEMATICA	`Do[s=DivisorSigma[1, n]-2*n; If[OddQ[s]&&!OddQ[n], Print[{n, s}]], {n, 1, 1000}]`
	CROSSREFS	`Cf. A016754, A088828-A088829.` `Sequence in context: A018366 A127066 A072462 this_sequence A076057 A133809 A128700` `Adjacent sequences: A088824 A088825 A088826 this_sequence A088828 A088829 A088830`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Oct 28 2003`

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.

AT&T Labs Research