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A089145

Greatest common divisor of n^2-3 and n^2+3.

3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	LINKS	`Colin Barker, Table of n, a(n) for n = 0..1000` `Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).`
	FORMULA	`From Colin Barker, Dec 11 2019: (Start)` `G.f.: (3 + 2x + x^2 + 6x^3 + x^4 + 2x^5) / ((1 - x)(1 + x)(1 - x + x^2)(1 + x + x^2)).` `a(n) = a(n-6) for n>5.` `(End)`
	PROG	`(PARI) g(n) = for(x=0, n, print1(gcd(x^2-3, x^2+3)", "))` `(PARI) Vec((3 + 2x + x^2 + 6x^3 + x^4 + 2x^5) / ((1 - x)(1 + x)(1 - x + x^2)(1 + x + x^2)) + O(x^80)) \\ Colin Barker, Dec 11 2019`
	CROSSREFS	`Sequence in context: A248033 A318254 A002130 * A324644 A364256 A361470` `Adjacent sequences: A089142 A089143 A089144 * A089146 A089147 A089148`
	KEYWORD	`easy,nonn`
	AUTHOR	`Cino Hilliard, Dec 05 2003`
	STATUS	`approved`

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Last modified September 8 19:56 EDT 2024. Contains 375759 sequences. (Running on oeis4.)