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 A272910 Numbers n such that (n-1)^3 + (n+1)^3 is a taxi-cab number (A001235). 1
 19, 32, 93, 124, 208, 243, 308, 395, 427, 471, 603, 672, 1057, 1568, 1892, 2181, 2223, 2587, 3040, 3049, 4037, 4336, 5232, 5556, 6196, 6305, 6643, 8288, 8748, 10161, 10185, 10612, 10985, 12352, 13741, 14807, 16021, 17568, 20352, 20653, 24080, 27216, 27867, 31113, 31869, 32032, 32500, 36593 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers n such that 2*n*(n^2+3) is a member of A001235. 19 and 3049 are the only prime numbers in this sequence for n < 10^5. How is the graph of second differences of this sequence? LINKS Chai Wah Wu, Table of n, a(n) for n = 1..300 EXAMPLE 19 is a term because 18^3 + 20^3 = 13832 = 2^3 + 24^3. PROG (PARI) T = thueinit(x^3+1, 1); isA001235(n) = my(v=thue(T, n)); sum(i=1, #v, v[i][1]>=0 && v[i][2]>=v[i][1])>1; lista(nn) = for(n=1, nn, if(isA001235(2*n*(n^2+3)), print1(n, ", "))); CROSSREFS Cf. A001235, A153976, A259836. Sequence in context: A184750 A101063 A061962 * A116168 A152088 A372427 Adjacent sequences: A272907 A272908 A272909 * A272911 A272912 A272913 KEYWORD nonn AUTHOR Altug Alkan, May 09 2016 STATUS approved

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Last modified August 6 03:16 EDT 2024. Contains 374957 sequences. (Running on oeis4.)