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!)
A162616 Triangle read by rows in which row n lists n terms, starting with n^3 + n - 1, such that the difference between successive terms is equal to n^3 - 1 = A068601(n). 6
1, 9, 16, 29, 55, 81, 67, 130, 193, 256, 129, 253, 377, 501, 625, 221, 436, 651, 866, 1081, 1296, 349, 691, 1033, 1375, 1717, 2059, 2401, 519, 1030, 1541, 2052, 2563, 3074, 3585, 4096, 737, 1465, 2193, 2921, 3649, 4377, 5105, 5833, 6561, 1009, 2008 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Note that the last term of the n-th row is the fourth power of n, A000583(n).

See also the triangles of A162614 and A162615.

LINKS

Table of n, a(n) for n=1..47.

FORMULA

Triangle begins:

    1;

    9,  16;

   29,  55,  81;

   67, 130, 193, 256;

  129, 253, 377, 501,  625;

  221, 436, 651, 866, 1081, 1296;

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

MAPLE

A162616 := proc(n, k) n^3+n-1+(k-1)*(n^3-1) ; end proc: seq(seq(A162616(n, k), k=1..n), n=1..15) ; # R. J. Mathar, Feb 05 2010

CROSSREFS

Cf. A000583, A068601, A159797, A162609, A162610, A162611, A162612, A162613, A162614, A162615.

Sequence in context: A183345 A303873 A257496 * A153362 A039788 A175652

Adjacent sequences:  A162613 A162614 A162615 * A162617 A162618 A162619

KEYWORD

easy,nonn,tabl

AUTHOR

Omar E. Pol, Jul 12 2009

EXTENSIONS

More terms from R. J. Mathar, 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 19:52 EDT 2020. Contains 336381 sequences. (Running on oeis4.)