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53, 431, 1457, 3455, 6749, 11663, 18521, 27647, 39365, 53999, 71873, 93311, 118637, 148175, 182249, 221183, 265301, 314927, 370385, 431999, 500093, 574991, 657017, 746495, 843749, 949103, 1062881, 1185407, 1317005, 1457999, 1608713, 1769471, 1940597, 2122415
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OFFSET
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1,1
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COMMENTS
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a(n) is coprime to 27*n^3*(27*n^3 - 1) - 2 = A016767(n)*(A016767(n)-1) - 2.
x^3 + y^3 + z^3 = w^3 has infinitely many solutions, where every pair of elements x, y and z are coprime.
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REFERENCES
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Wacław Sierpiński, Czym sie zajmuje teoria liczb. Warsaw: PW "Wiedza Powszechna", 1957, pp. 59-60.
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LINKS
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FORMULA
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G.f.: (-1 + 57*x + 213*x^2 + 55*x^3)/(1 - x)^4.
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MAPLE
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seq(54*n^3-1, n=1..34);
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MATHEMATICA
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Table[54*n^3 - 1, {n, 34}]
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PROG
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(Magma) [ 54*n^3-1 : n in [1..34]]
(PARI) vector(34, n, 54*n^3-1)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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