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a(n) = A001653(2n+2) - 2*A002315(n)^2, e.g. , 2379 = 5741 - 2*41^2;
a(n) = A001652(2n) + A002315(n)^2 + 2, e.g. , 2379 = 696 + 41^2 + 2;
a(n) = 2*A046176(n+1)+1, e.g. , 2379 = 2*1189 + 1.
G.f.: (x^2+34*x-3) / ((x-1)*(x^2-34*x+1)). - Colin Barker, Dec 14 2014 ([adjusted for corrected term and empirical g.f. confirmed for more terms and recurrence of source sequences. - Ray Chandler, Feb 05 2024)]
a(1) = 71 = 3*5 + 3*7 + 5*7.
Correct a(3) = 80783. - _ corrected by _Ray Chandler_, Feb 05 2024
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (35, -35, 1).
LinearRecurrence[{35, -35, 1}, {3, 71, 2379}, 20] (* Paolo Xausa, Feb 06 2024 *)
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G.f.: (x^2+34x34*x-3) / ((x-1)*(x^2-34*x+1)). - Colin Barker, Dec 14 2014 (adjusted for corrected term and empirical g.f. confirmed for more terms and recurrence of source sequences. - Ray Chandler, Feb 05 2024)
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