|
Search: id:A135453
|
|
| |
|
| 0, 12, 48, 108, 192, 300, 432, 588, 768, 972, 1200, 1452, 1728, 2028, 2352, 2700, 3072, 3468, 3888, 4332, 4800, 5292, 5808, 6348, 6912, 7500, 8112, 8748, 9408, 10092, 10800, 11532, 12288, 13068, 13872, 14700, 15552, 16428, 17328, 18252, 19200
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Areas of perfect 4:3 rectangles (for n>0).
12 times the squares. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
|
|
FORMULA
|
a(n) = A000290(n)*12 = A001105(n)*6 = A033428(n)*4 = A016742(n)*3 = A033581(n)*2. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
a(n)=24*n+a(n-1)-36 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 14 2009]
|
|
EXAMPLE
|
192 is on the list since 16*12 is a 4:3 rectangle with integer sides and an area of 192
For n=2, a(2)=24*2+0-36=12; n=3, a(3)=24*3+12-36=48; n=4, a(4)=24*4+48-36=108 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 14 2009]
|
|
MATHEMATICA
|
Table[12*n^2, {n, 1, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 17 2007
|
|
CROSSREFS
|
Cf. A000290, A001105, A033428, A016742, A033581. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
Sequence in context: A044114 A044495 A009958 this_sequence A165280 A006564 A059162
Adjacent sequences: A135450 A135451 A135452 this_sequence A135454 A135455 A135456
|
|
KEYWORD
|
easy,nonn,new
|
|
AUTHOR
|
Ben Thurston (benthurston27(AT)yahoo.com), Dec 14 2007
|
|
EXTENSIONS
|
More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 17 2007
Minor edits from Omar E. Pol (info(AT)polprimos.com), Dec 15 2008
|
|
|
Search completed in 0.006 seconds
|