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A053717
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a(n) = n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1.
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8
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1, 8, 255, 3280, 21845, 97656, 335923, 960800, 2396745, 5380840, 11111111, 21435888, 39089245, 67977560, 113522235, 183063616, 286331153, 435984840, 648232975, 943531280, 1347368421, 1891142968, 2613136835, 3559590240, 4785883225, 6357828776, 8353082583
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OFFSET
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0,2
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COMMENTS
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a(n) = 11111111 in base n for n>0.
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LINKS
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FORMULA
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a(n) = (n^8-1)/(n-1) for n != 1.
G.f.: 1 -x*(x^7-8*x^6-57*x^5-1016*x^4-2297*x^3-1464*x^2-191*x-8)/(x-1)^8. - Colin Barker, Oct 29 2012
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EXAMPLE
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a(3) = 3280 because 11111111 base 3 = 2187+729+243+81+27+9+3+1 = 3280.
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MATHEMATICA
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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