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 A046039 Numbers which cannot be represented as a sum of distinct 4th powers. 7
 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Last term is a(889576) = 5134240. [Charles R Greathouse IV, Feb 26 2012] LINKS Vaclav Kotesovec, Table of n, a(n) for n = 1..60000 Eric Weisstein's World of Mathematics, Biquadratic Number MATHEMATICA max = 2000; f[x_] := Product[1 + x^(k^4), {k, 1, 10}]; A003999 = Exponent[#, x]& /@ List @@ Normal[Series[f[x], {x, 0, max}]] // Rest; A046039 = Complement[Range[max], A003999][[1 ;; 71]](* Jean-François Alcover, Nov 09 2012, after Charles R Greathouse IV *) PROG (PARI) select( is_A046039(n, m=n)={m^4>n&& m=sqrtnint(n, 4); n!=m^4&& !while(m>1, is_A046039(n-m^4, m--)||return)}, [1..74]) \\ M. F. Hasler, Apr 21 2020 CROSSREFS Cf. A001422, A001476. Complement of A003999. Cf. A279487. Sequence in context: A331026 A098312 A279487 * A023784 A028823 A258264 Adjacent sequences:  A046036 A046037 A046038 * A046040 A046041 A046042 KEYWORD nonn,fini AUTHOR STATUS approved

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Last modified August 12 21:10 EDT 2020. Contains 336440 sequences. (Running on oeis4.)