login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A162622 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^4 - 1. 11
0, 1, 1, 2, 17, 32, 3, 83, 163, 243, 4, 259, 514, 769, 1024, 5, 629, 1253, 1877, 2501, 3125, 6, 1301, 2596, 3891, 5186, 6481, 7776, 7, 2407, 4807, 7207, 9607, 12007, 14407, 16807, 8, 4103, 8198, 12293, 16388, 20483, 24578, 28673, 32768, 9, 6569, 13129 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Note that the last term of the n-th row is the 5th power of n, A000584(n).

See also the triangles of A162623 and A162624.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

FORMULA

Sum_{k=0..n} T(n,k) = n*(n+1)*(1+n^4)/2 (row sums). [R. J. Mathar, Jul 20 2009]

EXAMPLE

Triangle begins:

  0;

  1,    1;

  2,   17,    32;

  3,   83,   163,   243;

  4,  259,   514,   769,  1024;

  5,  629,  1253,  1877,  2501,  3125;

  6, 1301,  2596,  3891,  5186,  6481,  7776;

  7, 2407,  4807,  7207,  9607, 12007, 14407, 16807;

  8, 4103,  8198, 12293, 16388, 20483, 24578, 28673, 32768;

  9, 6569, 13129, 19689, 26249, 32809, 39369, 45929, 52489, 59049; etc.

MAPLE

A162622 := proc(n, k) n+k*(n^4-1) ; end proc: seq(seq( A162622(n, k), k=0..n), n=0..15) ; # R. J. Mathar, Feb 11 2010

MATHEMATICA

Flatten[Table[NestList[#+n^4-1&, n, n], {n, 0, 9}]] (* Harvey P. Dale, Jun 23 2013 *)

PROG

(MAGMA) /* Triangle: */ [[n+k*(n^4-1): k in [0..n]]: n in [0..10]]; // Bruno Berselli, Dec 14 2012

CROSSREFS

Cf. A000583, A000584, A123865, A159797, A162609, A162610, A162611, A162612, A162613, A162614, A162615, A162616, A162623, A162624.

Sequence in context: A063118 A267540 A141068 * A078164 A060387 A003336

Adjacent sequences:  A162619 A162620 A162621 * A162623 A162624 A162625

KEYWORD

nonn,easy,tabl

AUTHOR

Omar E. Pol, Jul 15 2009

EXTENSIONS

7th and later rows from R. J. Mathar, Feb 11 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 February 21 04:18 EST 2019. Contains 320371 sequences. (Running on oeis4.)