|
| |
|
|
A152760
|
|
4 times 9-gonal numbers: 2*n*(7*n-5).
|
|
10
| |
|
|
0, 4, 36, 96, 184, 300, 444, 616, 816, 1044, 1300, 1584, 1896, 2236, 2604, 3000, 3424, 3876, 4356, 4864, 5400, 5964, 6556, 7176, 7824, 8500, 9204, 9936, 10696, 11484, 12300, 13144, 14016, 14916, 15844, 16800, 17784, 18796, 19836, 20904, 22000, 23124
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Sequence found by reading the line from 0, in the direction 0, 4,..., in the Pythagorean spiral whose edges have length A195019 and whose vertices are the numbers A195020. The square spiral is related to the primitive Pythagorean triple [3, 4, 5]. - Omar E. Pol, Oct 13 2011
|
|
|
LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (3,-3,1).
|
|
|
FORMULA
| a(n) = 14n^2 - 10n = A001106(n)*4 = A139268(n)*2.
a(n)=a(n-1)+28*n-24 (with a(0)=0) [From Vincenzo Librandi, Nov 26 2010]
|
|
|
MATHEMATICA
| s=0; lst={s}; Do[s+=n; AppendTo[lst, s], {n, 4, 8!, 28}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 02 2009]
|
|
|
CROSSREFS
| Cf. A001106, A139268, A152759.
Sequence in context: A075215 A193833 A193183 * A016826 A190318 A193874
Adjacent sequences: A152757 A152758 A152759 * A152761 A152762 A152763
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Dec 14 2008
|
| |
|
|
