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A084232
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RMS values associated with A084231.
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6
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1, 195, 37829, 7338631, 1423656585, 276182038859, 53577891882061, 10393834843080975, 2016350381665827089, 391161580208327374291, 75883330210033844785365, 14720974899166357560986519, 2855793247108063332986599321, 554009168964065120241839281755
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = ((7+4*sqrt(3))^(2*n+1)-(7-4*sqrt(3))^(2*n+1))/(8*sqrt(3)). [simplified by Bruno Berselli, Oct 19 2012]
a(n) = floor(((7*sqrt(3) + 12)/24)*(56*sqrt(3) + 97)^n).
a(n+2) = 194*a(n+1) - a(n).
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EXAMPLE
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a(1)=195 because 195 = sqrt((Sum_{k=1..337}k^2)/337) and 337 = A084231(1).
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MATHEMATICA
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LinearRecurrence[{194, -1}, {1, 195}, 20] (* Harvey P. Dale, Nov 10 2021 *)
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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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