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 A220990 12^(2n+1) + 6 * 12^n + 1: the right Aurifeuillian factor of 12^(6n+3) + 1. 12
 19, 1801, 249697, 35842177, 5159904769, 743009863681, 106993223294977, 15407021789577217, 2218611109320327169, 319479999401581608961, 46005119909741205651457, 6624737266953695061344257, 953962166440743626203987969 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The corresponding left Aurifeuillian factor is A220989. LINKS Wikipedia, Cunningham Project Index entries for linear recurrences with constant coefficients, signature (157,-1884,1728). FORMULA Aurifeuillian factorization: 12^(6n+3) + 1 = (12^(2n+1) + 1) * A220989(n) * a(n). G.f.: -(2736*x^2-1182*x+19) / ((x-1)*(12*x-1)*(144*x-1)). - Colin Barker, Jan 03 2013 MATHEMATICA Table[12^(2n+1) + 6 * 12^n + 1, {n, 0, 10}] LinearRecurrence[{157, -1884, 1728}, {19, 1801, 249697}, 20] (* Harvey P. Dale, Mar 26 2022 *) PROG (PARI) a(n)=12^(2*n+1)+6*12^n+1 \\ Charles R Greathouse IV, Sep 28 2015 CROSSREFS Cf. A092440, A085601, A220978, A198410, A220979-A220989. Sequence in context: A068748 A289736 A180394 * A098846 A116012 A203704 Adjacent sequences: A220987 A220988 A220989 * A220991 A220992 A220993 KEYWORD nonn,easy AUTHOR Stuart Clary, Dec 27 2012 STATUS approved

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Last modified November 26 20:27 EST 2022. Contains 358362 sequences. (Running on oeis4.)