A163284 - OEIS

%I #5 Dec 17 2016 14:05:43

%S 0,1,1,16,24,32,81,135,189,243,256,448,640,832,1024,625,1125,1625,

%T 2125,2625,3125,1296,2376,3456,4536,5616,6696,7776,2401,4459,6517,

%U 8575,10633,12691,14749,16807,4096,7680,11264,14848,18432,22016,25600,29184,32768

%N Triangle read by rows in which row n lists n+1 terms, starting with n^4 and ending with n^5, such that the difference between successive terms is equal to n^4 - n^3.

%C The first term of row n is A000583(n) and the last term of row n is A000584(n).

%H G. C. Greubel, <a href="/A163284/b163284.txt">Table of n, a(n) for the first 50 rows, flattened</a>

%e Triangle begins:

%e 0;

%e 1,1;

%e 16,24,32;

%e 81,135,189,243;

%e 256,448,640,832,1024;

%e 625,1125,1625,2125,2625,3125;

%e 1296,2376,3456,4536,5616,6696,7776;

%e 2401,4459,6517,8575,10633,12691,14749,16807;

%e 4096,7680,11264,14848,18432,22016,25600,29184,32768;

%e 6561,12393,18225,24057,29889,35721,41553,47385,53217,59049;

%e 10000,19000,28000,37000,46000,55000,64000,73000,82000,91000,100000;

%t Table[n^4 + k*(n^4 - n^3), {n,0,15}, {k,0,n}] // Flatten (* _G. C. Greubel_, Dec 17 2016 *)

%o (PARI) A163284(n, k)=n^4 +k*(n^4 -n^3) \\ _G. C. Greubel_, Dec 17 2016

%Y Cf. A000583, A000584, A085537, A159797, A162611, A162614, A162622, A163282, A163283, A163285.

%K easy,nonn,tabl

%O 0,4

%A _Omar E. Pol_, Jul 24 2009