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 A220980 5^(4n+2) + 5^(3n+2) + 3 * 5^(2n+1) + 5^(n+1) + 1: the right Aurifeuillian factor of 5^(10n+5) - 1. 2
 71, 19151, 10165751, 6152578751, 3820806643751, 2384948876968751, 1490211490478593751, 931334495635986718751, 582078099253082277343751, 363798066973743438730468751, 227373698726297855377246093751, 142108550062403118610382324218751 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The corresponding left Aurifeuillian factor is A220979. LINKS Wikipedia, Cunningham Project Index entries for linear recurrences with constant coefficients, signature (781,-101530,2538250,-12203125,9765625). FORMULA Aurifeuillian factorization: 5^(10n+5) - 1 = (5^(2n+1) - 1) * A220979(n) * a(n). G.f.: -(27734375*x^4-22687500*x^3+2417450*x^2-36300*x+71) / ((x-1)*(5*x-1)*(25*x-1)*(125*x-1)*(625*x-1)). [Colin Barker, Jan 03 2013] MATHEMATICA Table[5^(4n+2) + 5^(3n+2) + 3 * 5^(2n+1) + 5^(n+1) + 1, {n, 0, 20}] CROSSREFS Cf. A092440, A085601, A220978, A198410, A220979-A220990. Sequence in context: A209952 A251382 A208679 * A033527 A112615 A243665 Adjacent sequences:  A220977 A220978 A220979 * A220981 A220982 A220983 KEYWORD nonn,easy AUTHOR Stuart Clary, Dec 27 2012 STATUS approved

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Last modified August 19 14:27 EDT 2022. Contains 356229 sequences. (Running on oeis4.)