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 A273822 Integers n such that n^3 + 1 is the average of two positive cubes. 2
 27, 227, 335, 2387, 9299, 104571, 113519, 118499, 212343, 258999, 328499, 455600, 699891, 820755, 971360, 977051, 1059239, 1119723, 1193631, 1421367, 1604084, 2231999, 2794067, 4191431, 5450948, 6054611, 6769607, 7672391, 7760639, 7875035, 8091615, 9606203, 15511268 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Integers n such that n^3 + 1 is the average of two distinct positive cubes. LINKS EXAMPLE 27 is a term because 27^3 + 1 = (4^3 + 34^3)/2. PROG (PARI) isA003325(n) = for(k=1, sqrtnint(n\2, 3), ispower(n-k^3, 3) && return(1)); lista(nn) = for(n=1, nn, if(isA003325(2*(n^3+1)), print1(n, ", "))); CROSSREFS Cf. A001093, A003325. Sequence in context: A222994 A125364 A126522 * A027500 A069979 A183806 Adjacent sequences:  A273819 A273820 A273821 * A273823 A273824 A273825 KEYWORD nonn AUTHOR Altug Alkan, May 31 2016 EXTENSIONS a(9)-a(12) from Giovanni Resta, Jun 01 2016 a(13)-a(33) from Chai Wah Wu, Jun 19 2016 STATUS approved

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Last modified August 10 16:24 EDT 2022. Contains 356039 sequences. (Running on oeis4.)