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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
0, 2, 19, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24 (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) + A186680(n) + a(n) + A186684(n) = A002283(n)
a(n) = 24 for n >= 4. - Nathaniel Johnston, May 09 2011
Continued fraction expansion of (185-sqrt(145))/355. - Bruno Berselli, May 10 2011
LINKS
Eric Weisstein's World of Mathematics, Waring's Problem.
FORMULA
G.f.: x^2*(2+17*x+5*x^2)/(1-x). - Bruno Berselli, May 10 2011
MATHEMATICA
PadRight[{0, 2, 19}, 100, 24] (* Paolo Xausa, Jul 30 2024 *)
CROSSREFS
Cf. A046049.
Sequence in context: A018696 A175451 A004023 * A031030 A083689 A102617
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 30 23:09 EDT 2024. Contains 375550 sequences. (Running on oeis4.)