login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A162615 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^3 - 1 = A068601(n). 6
1, 2, 9, 3, 29, 55, 4, 67, 130, 193, 5, 129, 253, 377, 501, 6, 221, 436, 651, 866, 1081, 7, 349, 691, 1033, 1375, 1717, 2059, 8, 519, 1030, 1541, 2052, 2563, 3074, 3585, 9, 737, 1465, 2193, 2921, 3649, 4377, 5105, 5833, 10, 1009, 2008, 3007, 4006, 5005, 6004 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See also the triangles of A162614 and A162616.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..10000

FORMULA

Triangle begins:

  1;

  2,   9;

  3,  29,  55;

  4,  67, 130, 193;

  5, 129, 253, 377, 501;

  6, 221, 436, 651, 866, 1081;

Row sums: n*(n^4 - n^3 + n + 1)/2. - R. J. Mathar, Jul 20 2009

MAPLE

A162615 := proc(n, k) n+(k-1)*(n^3-1) ; end proc: seq(seq(A162615(n, k), k=1..n), n=1..15) ; # R. J. Mathar, Feb 05 2010

MATHEMATICA

Flatten[Table[c=n^3-1; NestList[#+c&, n, n-1], {n, 10}]] (* Harvey P. Dale, Nov 13 2011 *)

CROSSREFS

Cf. A000583, A068601, A159797, A162609, A162610, A162611, A162612, A162613, A162614, A162616.

Sequence in context: A163907 A237860 A088614 * A275716 A295197 A155163

Adjacent sequences:  A162612 A162613 A162614 * A162616 A162617 A162618

KEYWORD

easy,nonn,tabl

AUTHOR

Omar E. Pol, Jul 12 2009

EXTENSIONS

Terms beyond the 6th row from R. J. Mathar and Max Alekseyev, Feb 05 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 10 22:22 EDT 2020. Contains 336403 sequences. (Running on oeis4.)