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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
 0, 3, 33, 63, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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) a(n) = 65 for n >= 5. - Nathaniel Johnston, May 09 2011 Continued fraction expansion of (826055+sqrt(4229))/2503382. - Bruno Berselli, May 10 2011 LINKS Eric Weisstein's World of Mathematics, Waring's Problem. FORMULA G.f.: x^2*(3+30*x+30*x^2+2*x^3)/(1-x). - Bruno Berselli, May 10 2011 CROSSREFS Cf. A046048, A099591. Sequence in context: A069165 A180116 A282039 * A139222 A123049 A153783 Adjacent sequences:  A186677 A186678 A186679 * A186681 A186682 A186683 KEYWORD nonn AUTHOR Martin Renner, Feb 25 2011 EXTENSIONS a(5)-a(6) from Lars Blomberg, May 08 2011 a(7) from Charles R Greathouse IV, May 08 2011 Terms after a(7) from Nathaniel Johnston, May 09 2011 STATUS approved

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Last modified August 7 04:39 EDT 2020. Contains 336274 sequences. (Running on oeis4.)