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%I #18 Sep 08 2022 08:45:11
%S 17,18,25,44,81,142,233,360,529,746,1017,1348,1745,2214,2761,3392,
%T 4113,4930,5849,6876,8017,9278,10665,12184,13841,15642,17593,19700,
%U 21969,24406,27017,29808,32785,35954,39321,42892,46673,50670,54889,59336
%N a(n) = n^3 + 17.
%H Vincenzo Librandi, <a href="/A084379/b084379.txt">Table of n, a(n) for n = 0..1000</a>
%H Cino Hilliard, <a href="https://web.archive.org/web/20080621104333/http://groups.msn.com:80/BC2LCC/n37ltk2.msnw">Proof that a cube plus 7 cannot be a square</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F G.f.: (17 - 50*x + 55*x^2 - 16*x^3)/(1 - x)^4. - _Vincenzo Librandi_, Jun 11 2016
%t Table[n^3 + 17, {n, 0, 60}] (* _Vincenzo Librandi_, Jun 11 2016 *)
%t LinearRecurrence[{4,-6,4,-1},{17,18,25,44},40] (* _Harvey P. Dale_, Jul 03 2017 *)
%o (PARI) n3pm(n,m) = { for(x=1,n,y=x^3+m; print1(y", ")) }
%o (Magma) [n^3+17: n in [0..50]]; // _Vincenzo Librandi_, Jun 11 2016
%Y Cf. sequence for n^3+17.
%K easy,nonn
%O 0,1
%A _Cino Hilliard_, Jun 23 2003
%E a(0) = 17 by _Vincenzo Librandi_, Jun 11 2016
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