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 A089145 Greatest common divisor of n^2-3 and n^2+3. 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 + 2*x + x^2 + 6*x^3 + x^4 + 2*x^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 + 2*x + x^2 + 6*x^3 + x^4 + 2*x^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 A134199 A323417 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 December 1 14:10 EST 2021. Contains 349430 sequences. (Running on oeis4.)