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A220979
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a(n) = 5^(4n+2) - 5^(3n+2) + 3 * 5^(2n+1) - 5^(n+1) + 1: the left Aurifeuillian factor of 5^(10n+5) - 1.
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12
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11, 12851, 9384251, 6054921251, 3808599606251, 2383422998031251, 1490020755615156251, 931310653778075781251, 582075119020843503906251, 363797694444713592519531251, 227373652160169124603222656251, 142108544241637027263641113281251
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OFFSET
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0,1
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COMMENTS
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The corresponding right Aurifeuillian factor is A220980.
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LINKS
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FORMULA
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Aurifeuillian factorization: 5^(10n+5) - 1 = (5^(2n+1) - 1) * a(n) * A220980(n).
G.f.: -(4296875*x^4+2662500*x^3+464450*x^2+4260*x+11) / ((x-1)*(5*x-1)*(25*x-1)*(125*x-1)*(625*x-1)). - Colin Barker, Jan 03 2013
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MATHEMATICA
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Table[5^(4n+2) - 5^(3n+2) + 3 * 5^(2n+1) - 5^(n+1) + 1, {n, 0, 30}]
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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