id:A083238 - OEIS Search Results

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First order recursion: a[0]=1; a(n)=sigma[1,n]-a(n-1).

+0
3

0, 3, 1, 6, 0, 12, -4, 19, -6, 24, -12, 40, -26, 50, -26, 57, -39, 78, -58, 100, -68, 104, -80, 140, -109, 151, -111, 167, -137, 209, -177, 240, -192, 246, -198, 289, -251, 311, -255, 345, -303, 399, -355, 439, -361, 433, -385, 509, -452, 545, -473, 571, -517, 637, -565, 685, -605, 695, -635, 803, -741, 837, -733, 860 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Provide interesting decomposition: sigma(n)=u+w, where u and w consecutive terms of this sequence; this depends also on initial value.`
	EXAMPLE	`it follows that a(n)+a(n-1)=A000203(n)`
	MATHEMATICA	`f[x_] := DivisorSigma[1, x]-f[x-1] f[0]=1; Table[f[w], {w, 1, 100}]`
	CROSSREFS	`Cf. A000213, A083236, A083237.` `Sequence in context: A096614 A011002 A113817 this_sequence A117782 A116609 A124846` `Adjacent sequences: A083235 A083236 A083237 this_sequence A083239 A083240 A083241`
	KEYWORD	`sign`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Apr 23 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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