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 A085323 Numbers k such that both k and k+1 are sums of two positive cubes. 3
 854, 4940, 9603, 10744, 17919, 29743, 62558, 79001, 133273, 164304, 193192, 205406, 214984, 242648, 263871, 378936, 431999, 447336, 488375, 517427, 610687, 731158, 762047, 1000511, 1061550, 1125207, 1134124, 1157632, 1158137, 1179520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are 664 terms < 8*10^9, a(664)=7999968373. - Zak Seidov, Jul 24 2009 This is an infinite sequence. To see why, consider the (N,N+1) pair N = 16*k^6 - 12*k^4 + 6*k^2 - 2 = (2*k^2 - k - 1)^3 + (2*k^2 + k -1)^3 and N + 1 = 16*k^6 - 12*k^4 + 6*k^2 - 1 = (2*k^2)^3 + (2*k^2 - 1)^3. - Ant King, Sep 20 2013 LINKS Zak Seidov, Table of n, a(n) for n = 1..664 EXAMPLE 854 = 9^3 + 5^3 and 855 = 8^3 + 7^3; 4940 = 17^3 + 3^3 and 4941 = 13^3 + 14^3. MATHEMATICA {m=100, k=3, m^k}; t=Union[Flatten[Table[Table[w^k+q^k, {w, 1, m}], {q, 1, m}]]]; dt=Delete[ -RotateRight[t]+t, 1]; p=Part[t, Flatten[Position[dt, 1]]]; p CROSSREFS Cf. A003325. Sequence in context: A127593 A248856 A251050 * A185639 A105275 A100969 Adjacent sequences:  A085320 A085321 A085322 * A085324 A085325 A085326 KEYWORD nonn AUTHOR Labos Elemer, Jul 01 2003 EXTENSIONS Corrected and extended by Zak Seidov, Jul 24 2009 Name and Example edited by Jon E. Schoenfield, Jul 29 2017 STATUS approved

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Last modified October 23 12:54 EDT 2019. Contains 328345 sequences. (Running on oeis4.)