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A280428 a(n) = 1729*n^3.

%I A280428 #67 Apr 21 2025 13:23:24
%S A280428 1729,13832,46683,110656,216125,373464,593047,885248,1260441,1729000,
%T A280428 2301299,2987712,3798613,4744376,5835375,7081984,8494577,10083528,
%U A280428 11859211,13832000,16012269,18410392,21036743,23901696,27015625,30388904,34031907,37955008,42168581,46683000
%N A280428 a(n) = 1729*n^3.
%C A280428 Previous name was: Taxi-cab numbers of form n^3*1729; in other words, taxi-cab numbers of form n^3*A001235(1).
%H A280428 Sergey Pavlov, <a href="/A280428/b280428.txt">Table of n, a(n) for n = 1..303</a>.
%H A280428 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A280428 a(n) = n^3 * 1729.
%F A280428 From _Chai Wah Wu_, Jan 19 2021: (Start)
%F A280428 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4.
%F A280428 G.f.: x*(1729*x^2 + 6916*x + 1729)/(x - 1)^4. (End)
%F A280428 E.g.f.: 1729*exp(x)*x*(1 + 3*x + x^2). - _Stefano Spezia_, Apr 05 2025
%F A280428 From _Alois P. Heinz_, Apr 05 2025: (Start)
%F A280428 a(n) = A017163(n) + A017271(n).
%F A280428 a(n) = A000578(n) + A017523(n). (End)
%e A280428 For n = 11, a(11) = 11^3 * 1729 = 2301299 and a(11) = A001235(67).
%t A280428 Array[1729 #^3 &, 30] (* _Michael De Vlieger_, Mar 04 2017 *)
%o A280428 (PARI) vector(30,n,1729*n^3) \\ _Derek Orr_, Mar 05 2017
%Y A280428 Cf. A000578, A001235, A017163, A017271, A017523.
%K A280428 nonn,easy
%O A280428 1,1
%A A280428 _Sergey Pavlov_, Mar 03 2017
%E A280428 New name from _Joerg Arndt_, Mar 04 2017
%E A280428 More terms from _Sergey Pavlov_, Mar 04 2017