id:A154332 - OEIS Search Results

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Least positive integer m such that A087285(n) = A154333(m) = m^3 - next smaller square.

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3, 2, 32, 15, 17, 4, 7, 6, 35, 8, 11, 10, 14, 21, 12, 28, 65, 9, 56, 18, 136, 568, 23, 99, 101, 20, 13, 27, 34, 30, 143, 145, 38, 16, 19, 47, 195, 91, 197, 175, 26, 51, 59, 799, 69, 62, 163, 255, 257, 66, 31, 717, 2904, 33, 377, 79, 323, 325, 25 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The terms of this sequence constitute a "proof" for the terms listed in A087285. To prove that a number is NOT in A087285, one can check the finite number (A081120) of solutions to the corresponding Mordell equation, cf. references in A081121.`
	FORMULA	`A087285(n) = A154333(a(n)) = a(n)^3 - [sqrt(a(n)^3 - 1)]^2 = A000578(a(n)) - A048760(a(n)^3-1).`
	PROGRAM	`(PARI) A154332(n) = { local(m); until(m++^3-sqrtint(m^3-1)^2==A087285[n], ); m }`
	CROSSREFS	`Sequence in context: A065353 A046272 A054676 this_sequence A136635 A062743 A013324` `Adjacent sequences: A154329 A154330 A154331 this_sequence A154333 A154334 A154335`
	KEYWORD	`nonn`
	AUTHOR	`M. F. Hasler (MHasler(AT)univ-ag.fr), Jan 07 2009`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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