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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
1, 2, 17, 3, 83, 163, 4, 259, 514, 769, 5, 629, 1253, 1877, 2501, 6, 1301, 2596, 3891, 5186, 6481, 7, 2407, 4807, 7207, 9607, 12007, 14407, 8, 4103, 8198, 12293, 16388, 20483, 24578, 28673, 9, 6569, 13129, 19689, 26249, 32809, 39369, 45929, 52489, 10 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See also the triangles of A162622 and A162624.

LINKS

Table of n, a(n) for n=1..46.

FORMULA

Row sums: n*(n^5 - n^4 + n + 1)/2. - R. J. Mathar, Jul 20 2009

EXAMPLE

Triangle begins:

  1;

  2,   17;

  3,   83,  163;

  4,  259,  514,  769;

  5,  629, 1253, 1877, 2501;

  6, 1301, 2596, 3891, 5186, 6481;

MAPLE

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

MATHEMATICA

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 *)

CROSSREFS

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

Sequence in context: A114560 A108883 A199295 * A165234 A155895 A293179

Adjacent sequences:  A162620 A162621 A162622 * A162624 A162625 A162626

KEYWORD

easy,nonn,tabl

AUTHOR

Omar E. Pol, Jul 12 2009

EXTENSIONS

More terms from R. J. Mathar, Sep 27 2009

STATUS

approved

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Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)