A046048 Numbers that are the sum of 17 but no fewer nonzero fourth powers.

47, 62, 77, 127, 142, 157, 207, 222, 237, 287, 302, 317, 367, 382, 397, 447, 462, 477, 527, 542, 557, 607, 622, 687, 702, 752, 767, 782, 847, 862, 927, 942, 992, 1007, 1022, 1087, 1102, 1167, 1182, 1232, 1247, 1327, 1407, 1487, 1567, 1647, 1727, 1807, 2032

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• fini
• full
• nice

Comments

a(65) = 13792 is the last term of this sequence; see A099591 for further references.

Examples

			62 is the sum of 17 4th powers and no fewer, so 62 is a term.
63 is the sum of 18 4th powers and no fewer, so 63 is not a term, although it is a term of A099591.
		

Links

• T. D. Noe, Table of n, a(n) for n= 1..65 (full sequence)
• Eric Weisstein's World of Mathematics, Biquadratic Number.

Crossrefs

Cf. A000583, A002377, A046047, A099591.

Programs

Mathematica

lim = 2100; f[n_] := f[n] = (k = 0; While[k++; k <= 17 && PowersRepresentations[n, k, 4] == {}]; k); Select[Range[lim], f[#] == 17 &] (* Jean-François Alcover, Sep 08 2011 *)

Extensions

More terms from Arlin Anderson (starship1(AT)gmail.com)