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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

Table of n, a(n) for n=1..65.

Weisstein, Eric W.: MathWorld -- Waring's Problem.

FORMULA

G.f.: x^2*(2+17*x+5*x^2)/(1-x). - Bruno Berselli, May 10 2011

CROSSREFS

Cf. A046049.

Sequence in context: A018696 A175451 A004023 * A031030 A083689 A102617

Adjacent sequences:  A186679 A186680 A186681 * A186683 A186684 A186685

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 October 31 09:33 EDT 2014. Contains 248861 sequences.