A060859 - OEIS

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A060859

Powerful numbers of form n^2 - 1 such that n^2 is also powerful.

8, 288, 675, 9800, 235224, 332928, 1825200, 11309768, 384199200, 592192224, 4931691075, 13051463048, 221322261600, 443365544448, 865363202000, 8192480787000, 13325427460800, 15061377048200, 511643454094368 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	LINKS	`Donovan Johnson, Table of n, a(n) for n = 1..30 (terms < 10^22)` `Index entries for sequences related to powerful numbers`
	FORMULA	`a(n)=x^2-1 and a(n)+1=x^2 are consecutive powerful numbers.`
	EXAMPLE	`Factors of the first [ = x^2-1] terms of powerful pairs: 1825200 = 2.2.2.2.3.3.3.5.5.13.13; 11309768 = 2.2.2.29.29.41.41; 592192224 = 2.2.2.2.2.3.3.13.13.23.23.23; 4931691075 = 3.3.3.3.3.5.5.17.17.53.53. The 2nd terms are squares.`
	CROSSREFS	`Proper subset of A060355. Cf. A001694, A060860.` `Sequence in context: A089670 A221612 A060355 * A187289 A187191 A054607` `Adjacent sequences: A060856 A060857 A060858 * A060860 A060861 A060862`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), May 04 2001`
	EXTENSIONS	`Corrected and extended by Jud McCranie, Jul 08 2001` `Offset corrected by Donovan Johnson, Nov 15 2011`
	STATUS	`approved`

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Last modified May 24 09:26 EDT 2013. Contains 225617 sequences.