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 A369153 Numbers k such that gcd(2*k^7+1, 3*k^3+2) > 1. 0
 435, 1598, 2761, 3924, 5087, 6250, 7413, 8576, 9739, 10902, 12065, 13228, 14391, 15554, 16717, 17880, 19043, 20206, 21369, 22532, 23695, 24858, 26021, 27184, 28347, 29510, 30673, 31836, 32999, 34162, 35325, 36488, 37651, 38814, 39977, 41140, 42303, 43466 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This GCD is 1163 if k == 435 (mod 1163), or 1 otherwise. LINKS Table of n, a(n) for n=0..37. Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA a(n) = 435 + 1163*n. a(n) = 2*a(n-1) - a(n-2). G.f.: (435 + 728*x)/(1 - x)^2. EXAMPLE a(0) = 435, 2*435^7+1 = 5894606169966093751 and 3*435^3+2 = 246938627, gcd(5894606169966093751, 246938627) = 1163. MATHEMATICA Table[435+n*1163, {n, 0, 37}] (* James C. McMahon, Jan 15 2024 *) CROSSREFS Sequence in context: A160353 A268475 A212227 * A237302 A124043 A345554 Adjacent sequences: A369150 A369151 A369152 * A369154 A369155 A369156 KEYWORD nonn,easy AUTHOR Philippe Deléham, Jan 15 2024 STATUS approved

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Last modified April 20 03:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)