

A046048


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


6



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
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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 member.
63 is the sum of 18 4th powers and no fewer, so 63 is not a member, although it is a member 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 &] (* JeanFrançois Alcover, Sep 08 2011 *)


CROSSREFS

Cf. A000583, A002377, A046047, A099591.
Sequence in context: A043178 A043958 A099591 * A163390 A023303 A106874
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



