A145335 - OEIS

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A145335

Numbers n such that there exists x in N : (x+1)^3-x^3=43*n^2

7, 235963, 7954312723, 268139881656367, 9038995402681818847, 304704534756264231676003, 10271589857594671847116242283, 346255293794811853210024295683927 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	LINKS	`Table of n, a(n) for n=1..8.`
	FORMULA	`a(n+2)=33710a(n+1)-a(n)` `a(n)=(7/2){[16855+1484sqrt(129)]^n+[16855-1484sqrt(129)]^n}-(53/172)sqrt(129){[16855-1484sqrt(129)]^n- [16855+1484sqrt(129)]^n}, with n>=0 [From Paolo P. Lava, Nov 25 2008]`
	EXAMPLE	`a(1)=7 because the first relation is : 27^3-26^3=43*7^2`
	CROSSREFS	`Sequence in context: A090769 A013842 A145322 * A003835 A138878 A050938` `Adjacent sequences: A145332 A145333 A145334 * A145336 A145337 A145338`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet, Oct 08 2008`
	STATUS	`approved`

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Last modified May 24 21:38 EDT 2013. Contains 225631 sequences.