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A004853
Numbers that are the sum of at most 2 nonzero 6th powers.
1
0, 1, 2, 64, 65, 128, 729, 730, 793, 1458, 4096, 4097, 4160, 4825, 8192, 15625, 15626, 15689, 16354, 19721, 31250, 46656, 46657, 46720, 47385, 50752, 62281, 93312, 117649, 117650, 117713, 118378, 121745, 133274, 164305, 235298, 262144, 262145
OFFSET
1,3
LINKS
MAPLE
N:= 10^7: # to get all terms <= N
sort(select(`<=`, [seq(seq(a^6+b^6, b=0..a), a=0..floor(N^(1/6)))], N)); # Robert Israel, Aug 24 2015
MATHEMATICA
Reap[For[n = 0, n < 300000, n++, If[MatchQ[PowersRepresentations[n, 2, 6], {{_, _}, ___}], Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Oct 30 2017 *)
PROG
(PARI) lista(nn)=v = []; for (n=0, nn, v = concat(v, n^6); for (k=1, n, if ((nk=n^6+k^6) < (n+1)^7, v = concat(v, nk)); ); ); vecsort(v); \\ Michel Marcus, Aug 26 2015
CROSSREFS
Cf. A001014 (6th powers), A003358 (exactly 2 nonzero 6th powers).
Sequence in context: A234279 A109667 A330059 * A249073 A064010 A120829
KEYWORD
nonn,easy
STATUS
approved