cp's OEIS Frontend

A163283 Triangle read by rows in which row n lists n+1 terms, starting with n^3 and ending with n^4, such that the difference between successive terms is equal to n^3 - n^2.

%I A163283 #11 Dec 14 2016 20:12:19
%S A163283 0,1,1,8,12,16,27,45,63,81,64,112,160,208,256,125,225,325,425,525,625,
%T A163283 216,396,576,756,936,1116,1296,343,637,931,1225,1519,1813,2107,2401,
%U A163283 512,960,1408,1856,2304,2752,3200,3648,4096,729,1377,2025,2673,3321,3969
%N A163283 Triangle read by rows in which row n lists n+1 terms, starting with n^3 and ending with n^4, such that the difference between successive terms is equal to n^3 - n^2.
%C A163283 The first term of row n is A000578(n) and the last term of row n is A000583(n).
%H A163283 G. C. Greubel, <a href="/A163283/b163283.txt">Table of n, a(n) for the first 50 rows</a>
%F A163283 T(n, k) = n^3 + k*(n^3 - n^2), for 0 <= k <= n, n >= 0. - _G. C. Greubel_, Dec 13 2016
%e A163283 Triangle begins:
%e A163283 0;
%e A163283 1,    1;
%e A163283 8,    12,   16;
%e A163283 27,   45,   63,   81;
%e A163283 64,   112,  160,  208,  256;
%e A163283 125,  225,  325,  425,  525,  625;
%e A163283 216,  396,  576,  756,  936,  1116, 1296;
%e A163283 343,  637,  931,  1225, 1519, 1813, 2107, 2401;
%e A163283 512,  960,  1408, 1856, 2304, 2752, 3200, 3648, 4096;
%e A163283 729,  1377, 2025, 2673, 3321, 3969, 4617, 5265, 5913, 6561;
%e A163283 1000, 1900, 2800, 3700, 4600, 5500, 6400, 7300, 8200, 9100, 10000;
%e A163283 ...
%t A163283 Table[n^3 + k*(n^3 - n^2), {n, 0, 5}, {k, 0, n}]//Flatten (* _G. C. Greubel_, Dec 13 2016 *)
%o A163283 (PARI) A163283(n, k)=n^3 +k*(n^3 -n^2) \\ _G. C. Greubel_, Dec 13 2016
%Y A163283 Row sums: A099903.
%Y A163283 Cf. A000578, A000583, A045991, A159797, A162611, A162614, A163282, A163284, A163285.
%K A163283 easy,nonn,tabl
%O A163283 0,4
%A A163283 _Omar E. Pol_, Jul 24 2009
%E A163283 Edited by _Omar E. Pol_, Jul 25 2009