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A186682 Total number of positive integers below 10^n requiring 18 positive biquadrates in their representation as sum of biquadrates. 19

%I #23 Jun 29 2023 13:03:28

%S 0,2,19,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,

%T 24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,

%U 24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24

%N Total number of positive integers below 10^n requiring 18 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) + A186680(n) + a(n) + A186684(n) = A002283(n)

%C a(n) = 24 for n >= 4. - _Nathaniel Johnston_, May 09 2011

%C Continued fraction expansion of (185-sqrt(145))/355. - _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*(2+17*x+5*x^2)/(1-x). - _Bruno Berselli_, May 10 2011

%Y Cf. A046049.

%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 12:54 EDT 2024. Contains 371943 sequences. (Running on oeis4.)