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A186680 Total number of positive integers below 10^n requiring 17 positive biquadrates in their representation as sum of biquadrates. 19

%I #22 Jun 29 2023 13:00:59

%S 0,3,33,63,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,

%T 65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,

%U 65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65,65

%N Total number of positive integers below 10^n requiring 17 positive biquadrates in their representation as sum of biquadrates.

%C A114322(n) + A186649(n) + A186651(n) + A186653(n) + A186655(n) + A186657(n) + A186659(n) + A186661(n) + A186663(n) + A186665(n) + A186667(n) + A186669(n) + A186671(n) + A186673(n) + A186675(n) + A186677(n) + a(n) + A186682(n) + A186684(n) = A002283(n)

%C a(n) = 65 for n >= 5. - _Nathaniel Johnston_, May 09 2011

%C Continued fraction expansion of (826055+sqrt(4229))/2503382. - _Bruno Berselli_, May 10 2011

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/WaringsProblem.html">Waring's Problem.</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).

%F G.f.: x^2*(3+30*x+30*x^2+2*x^3)/(1-x). - _Bruno Berselli_, May 10 2011

%Y Cf. A046048, A099591.

%K nonn

%O 1,2

%A _Martin Renner_, Feb 25 2011

%E a(5)-a(6) from _Lars Blomberg_, May 08 2011

%E a(7) from _Charles R Greathouse IV_, May 08 2011

%E Terms after a(7) from _Nathaniel Johnston_, May 09 2011

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Last modified April 24 07:22 EDT 2024. Contains 371922 sequences. (Running on oeis4.)