A145124 - OEIS

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A145124

Numbers x such that there exists n in N : (x+1)^3-x^3=19*n^2

2, 757, 228762, 69085517, 20863597522, 6300737366277, 1902801821018282, 574639849210155037, 173539331659645803042, 52408303521363822363797, 15827134124120214708063802 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`a(1)=2 because 3^3-2^3=19*1`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (303,-303,1).`
	FORMULA	`a(n+2)=302a(n+1)-a(n)+150` `a(n)=-(1/2)+(5/4){[151+20sqrt(57)]^n+[151-20sqrt(57)]^n}-(1/6)sqrt(57){[151-20 sqrt(57)]^n-[151+20sqrt(57)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 25 2008]` `G.f. x(-2-151x+3x^2) / ( (x-1)(x^2-302*x+1) ). - R. J. Mathar, Nov 27 2011`
	CROSSREFS	`Cf. A145123.` `Sequence in context: A072384 A109949 A151591 * A102969 A179960 A167448` `Adjacent sequences: A145121 A145122 A145123 * A145125 A145126 A145127`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 02 2008`

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.