A147527 - OEIS

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A147527

Numbers n such that exists x in N : (x+103)^3-x^3=n^2

93645643, 12024611022569890927, 1544025601332411913276450522087, 198261303679194296628699373223979621125203, 25457832112792289938442435570354101121237746019778883 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	FORMULA	`a(n+2)=128405450990a(n+1)-a(n)` `a(n)=(93645643/2){[64202725495+3652365444sqrt(309)]^n+[(64202725495-3652365444sqrt(309)]^n}-(10654629/4){[(64202725495 -3652365444sqrt(309)]^nsqrt(309)-[(64202725495+3652365444sqrt(309)]^n*sqrt(309)}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 25 2008]`
	EXAMPLE	`a(1)=93645643 because the first relation is : (5327263+103)^3-5327263^3=93645643^2`
	CROSSREFS	`Sequence in context: A205665 A205465 A117624 * A136634 A033625 A128673` `Adjacent sequences: A147524 A147525 A147526 * A147528 A147529 A147530`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Nov 06 2008`

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Last modified February 14 07:16 EST 2012. Contains 205589 sequences.