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Search: id:A135453
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| 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)
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OFFSET
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0,2
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COMMENT
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Areas of perfect 4:3 rectangles (for n>0).
12 times the squares. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
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FORMULA
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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]
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EXAMPLE
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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]
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MATHEMATICA
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Table[12*n^2, {n, 1, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 17 2007
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CROSSREFS
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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
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KEYWORD
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easy,nonn,new
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AUTHOR
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Ben Thurston (benthurston27(AT)yahoo.com), Dec 14 2007
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EXTENSIONS
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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
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