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

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

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

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

Eric Weisstein's World of Mathematics, Waring's Problem.

Index entries for linear recurrences with constant coefficients, signature (1).

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 A358695 A123049

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