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

1,1

Comments

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

Links

T. D. Noe, Table of n, a(n) for n= 1..65 (full sequence)

Eric Weisstein's World of Mathematics, Biquadratic Number.

Example

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.

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 *)

Crossrefs

Cf. A000583, A002377, A046047, A099591.

Sequence in context: A043178 A043958 A099591 * A163390 A332078 A023303

Adjacent sequences: A046045 A046046 A046047 * A046049 A046050 A046051

Keyword

nonn,fini,full,nice

Author

Eric W. Weisstein

Extensions

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

Status

approved