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Triangle read by rows in which row n lists n+1 terms, starting with n, such that the difference between successive terms is equal to n^2 - 1.
21

%I #5 Jun 18 2014 16:56:13

%S 0,1,1,2,5,8,3,11,19,27,4,19,34,49,64,5,29,53,77,101,125,6,41,76,111,

%T 146,181,216,7,55,103,151,199,247,295,343,8,71,134,197,260,323,386,

%U 449,512,9,89,169,249,329,409,489,569,649,729,10,109,208,307,406,505,604

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

%C Note that the last term of the n-th row is the n-th cube A000578(n).

%C See also A159797, A162614 and A162622.

%e Triangle begins:

%e 0;

%e 1, 1;

%e 2, 5, 8;

%e 3,11,19,27;

%e 4,19,34,49,64;

%e 5,29,53,77,101,125;

%e 6,41,76,111,146,181,216;

%t Flatten[Join[{0,1,1},Table[Range[n,(n+1)(n^2-1),n^2-1],{n,2,10}]]] (* _Harvey P. Dale_, Jun 18 2014 *)

%Y Cf. A000578, A159797, A162612, A162613, A162614, A162622.

%K easy,nonn,tabl

%O 0,4

%A _Omar E. Pol_, Jul 09 2009

%E Edited by _Omar E. Pol_, Jul 18 2009