OFFSET
1,1
COMMENTS
There are 96 members in the sequence, the largest being 13792, see the Deshouillers et al. references.
LINKS
T. D. Noe, Table of n, a(n) for n = 1..96 (complete sequence)
J.-M. Deshouillers, F. Hennecart and B. Landreau, Waring's Problem for sixteen biquadrates - numerical results, Journal de Théorie des Nombres de Bordeaux 12 (2000), pp. 411-422.
J.-M. Deshouillers, K. Kawada and T. D. Wooley, On Sums of Sixteen Biquadrates, Mém. Soc. Math. de France, Paris, 2005.
Eric Weisstein's World of Mathematics, Biquadratic Number
Eric Weisstein's World of Mathematics, Warings Problem
EXAMPLE
62 is the sum of 17 4th powers and no fewer, so 62 is a member.
63 is the sum of 18 4th powers and no fewer, so 63 is a member, although it is not a member of A046048.
MATHEMATICA
f[n_] := f[n] = (k = 0; While[k++; PowersRepresentations[n, k, 4] == {}]; k); Select[Range[800], f[#] >= 17 &] (* Jean-François Alcover, Sep 02 2011 *)
CROSSREFS
KEYWORD
nonn,fini,full,nice
AUTHOR
Ralf Stephan, Oct 25 2004
EXTENSIONS
a(25) changed from 368 to 367 by T. D. Noe, Sep 07 2006
STATUS
approved