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Differences of consecutive powerful numbers (definition 1).

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3, 4, 1, 7, 9, 2, 5, 4, 13, 15, 8, 9, 19, 8, 13, 4, 3, 16, 25, 27, 4, 16, 9, 18, 13, 32, 1, 35, 19, 18, 31, 8, 32, 9, 43, 16, 12, 17, 47, 49, 23, 27, 1, 53, 55, 16, 41, 23, 36, 61, 7, 4, 28, 24, 65, 36, 27, 4, 69, 71, 27, 8, 21, 17, 3, 72, 77, 47, 32, 81, 47, 36, 36, 49, 87, 8 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The term 1 appears infinitely often. Erdos conjectured that two consecutive 1's do not occur. (see Guy).`
	REFERENCES	`R. K. Guy, Unsolved Problems in Number Theory, B16`
	LINKS	`Eric Weisstein's World of Mathematics, Powerful numbers`
	FORMULA	`A001694[n+1]-A001694[n]`
	EXAMPLE	`The first two powerful numbers are 1 and 4, there difference is 3, so a(1)=3.`
	CROSSREFS	`Cf. A001694, A076444.` `Sequence in context: A092261 A163762 A016607 this_sequence A053289 A076412 A053707` `Adjacent sequences: A076443 A076444 A076445 this_sequence A076447 A076448 A076449`
	KEYWORD	`nonn`
	AUTHOR	`Jud McCranie (JudMcCr(AT)BellSouth.net), Oct 15 2002`

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

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