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A181404 Total number of positive integers below 10^n requiring 8 positive cubes in their representation as sum of cubes.

%I A181404 #34 Feb 16 2025 08:33:13
%S A181404 0,3,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,
%T A181404 15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,
%U A181404 15,15,15,15,15,15,15,15,15,15,15,15,15,15,15
%N A181404 Total number of positive integers below 10^n requiring 8 positive cubes in their representation as sum of cubes.
%C A181404 Also continued fraction expansion of (9+sqrt(229))/74. - _Bruno Berselli_, Sep 09 2011
%H A181404 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/WaringsProblem.html">Waring's Problem</a>
%H A181404 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F A181404 A061439(n) + A181375(n) + A181377(n) + A181379(n) + A181381(n) + A181400(n) + A181402(n) + a(n) + A130130(n) = A002283(n).
%F A181404 a(n) = 15 for n > 2. - _Charles R Greathouse IV_, Sep 09 2011
%F A181404 G.f.: 3*x^2*(1+4*x)/(1-x). - _Bruno Berselli_, Sep 09 2011
%F A181404 E.g.f.: 3*(5*(exp(x) - 1 - x) - 2*x^2). - _Stefano Spezia_, May 21 2024
%t A181404 PadRight[{0, 3}, 100, 15] (* _Paolo Xausa_, May 24 2024 *)
%o A181404 (PARI) a(n)=if(n>2,15,3*n-3) \\ _Charles R Greathouse IV_, Oct 07 2015
%Y A181404 Cf. A018889, A010854.
%Y A181404 Cf. A002283, A061439, A130130, A181375, A181377, A181379, A181381, A181400, A181402.
%K A181404 nonn,easy
%O A181404 1,2
%A A181404 _Martin Renner_, Jan 28 2011
%E A181404 a(5)-a(7) from _Lars Blomberg_, May 04 2011