id:A081083 - OEIS Search Results

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Numbers n such that sfk(n+1)=sfk(n)+1, where sfk(m)=A007947(m) is the square-free kernel of m.

+0
2

1, 2, 5, 6, 8, 10, 13, 14, 21, 22, 29, 30, 33, 34, 37, 38, 41, 42, 46, 48, 57, 58, 61, 65, 66, 69, 70, 73, 77, 78, 82, 85, 86, 93, 94, 101, 102, 105, 106, 109, 110, 113, 114, 118, 122, 129, 130, 133, 137, 138, 141, 142, 145, 154, 157, 158, 165, 166, 173, 177, 178, 181 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Nearly all terms seem to be square-free, see A081084.`
	EXAMPLE	`m=46=223=sfk(46) and sfk(47)=47=46+1=sfk(46)+1, therefore 46 is a term;` `m=48=32^4, sfk(48)=6 and sfk(49)=sfk(7*7)=7=6+1=sfk(48)+1, therefore 48 is a term.`
	CROSSREFS	`Cf. A049097.` `Adjacent sequences: A081080 A081081 A081082 this_sequence A081084 A081085 A081086` `Sequence in context: A034020 A121411 A047441 this_sequence A104493 A139532 A024798`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 04 2003`

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.

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