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 A220984 The right Aurifeuillian factor of 7^(14n+7) + 1. 5
 911, 46489241, 4845303761663, 560176314330212777, 65739735996793498937711, 7731453717973685046293120441, 909551411151743369070229385367263, 107007034358477098527617255914118283977, 12589257482346423369016062830670344414194511 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The corresponding left Aurifeuillian factor is A220983. LINKS Wikipedia, Cunningham Project Index entries for linear recurrences with constant coefficients, signature (137257, -2354918349, 5670354183893, -1944931485075299, 95029449572634843, -651636050170246351, 558545864083284007). FORMULA a(n) = 7^(6n+3) + 7^(5n+3) + 3 * 7^(4n+2) + 7^(3n+2) + 3 * 7^(2n+1) + 7^(n+1) + 1. Aurifeuillian factorization: 7^(14n+7) + 1 = (7^(2n+1) + 1) * A220983(n) * a(n). G.f.: -(1483484787696419039*x^6 -1087259214306211086*x^5 +71725962948861585*x^4 -562870083909028*x^3 +609660625665*x^2 -78551886*x +911) / ((x -1)*(7*x -1)*(49*x -1)*(343*x -1)*(2401*x -1)*(16807*x -1)*(117649*x -1)). [Colin Barker, Jan 04 2013] MATHEMATICA Table[7^(6n+3) + 7^(5n+3) + 3 * 7^(4n+2) + 7^(3n+2) + 3 * 7^(2n+1) + 7^(n+1) + 1, {n, 0, 20}] CROSSREFS Cf. A092440, A085601, A220978, A198410, A220979-A220990. Sequence in context: A119520 A145646 A093634 * A237084 A224969 A263122 Adjacent sequences:  A220981 A220982 A220983 * A220985 A220986 A220987 KEYWORD nonn,easy AUTHOR Stuart Clary, Dec 27 2012 STATUS approved

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Last modified April 6 18:49 EDT 2020. Contains 333286 sequences. (Running on oeis4.)