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A162623 Triangle read by rows in which row n lists n terms, starting with n, such that the difference between successive terms is equal to n^4 - 1 = A123865(n). 5

%I #9 Apr 27 2019 02:33:39

%S 1,2,17,3,83,163,4,259,514,769,5,629,1253,1877,2501,6,1301,2596,3891,

%T 5186,6481,7,2407,4807,7207,9607,12007,14407,8,4103,8198,12293,16388,

%U 20483,24578,28673,9,6569,13129,19689,26249,32809,39369,45929,52489,10

%N Triangle read by rows in which row n lists n terms, starting with n, such that the difference between successive terms is equal to n^4 - 1 = A123865(n).

%C See also the triangles of A162622 and A162624.

%F Row sums: n*(n^5 - n^4 + n + 1)/2. - _R. J. Mathar_, Jul 20 2009

%e Triangle begins:

%e 1;

%e 2, 17;

%e 3, 83, 163;

%e 4, 259, 514, 769;

%e 5, 629, 1253, 1877, 2501;

%e 6, 1301, 2596, 3891, 5186, 6481;

%p A162623 := proc(n,k) n+k*(n^4-1) ; end: seq(seq(A162623(n,k),k=0..n-1),n=1..15) ; # _R. J. Mathar_, Sep 27 2009

%t dst[n_]:=Module[{c=n^4-1},Range[n,n*c,c]]; Flatten[Join[{1},Table[dst[n],{n,2,10}]]] (* _Harvey P. Dale_, Jul 29 2014 *)

%Y Cf. A000583, A000584, A123865, A159797, A162609, A162610, A162611, A162612, A162613, A162614, A162615, A162616, A162622, A162624.

%K easy,nonn,tabl

%O 1,2

%A _Omar E. Pol_, Jul 12 2009

%E More terms from _R. J. Mathar_, Sep 27 2009

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Last modified July 4 18:13 EDT 2024. Contains 374015 sequences. (Running on oeis4.)