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A153792
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12 times pentagonal numbers: 6n(3n-1).
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1
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0, 12, 60, 144, 264, 420, 612, 840, 1104, 1404, 1740, 2112, 2520, 2964, 3444, 3960, 4512, 5100, 5724, 6384, 7080, 7812, 8580, 9384, 10224, 11100, 12012, 12960, 13944, 14964, 16020, 17112, 18240, 19404, 20604, 21840, 23112, 24420
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = 18n^2 - 6n = A000326(n)*12 = A049450(n)*6 = A062741(n)*4 = A033579(n)*3 = A152743(n)*2.
a(n)=36*n+a(n-1)-24 (with a(0)=0). [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]
G.f.: 12*x*(1+2*x)/(1-x)^3. [Colin Barker, Feb 14 2012]
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EXAMPLE
| a(1)=36*1+0-24=12; a(2)=36*2+12-24=60; a(3)=36*3+60-24=144 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 03 2010]
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CROSSREFS
| Cf. A000326, A049450, A062741, A033579, A152743, A153449, A153793.
Sequence in context: A099829 A099830 A158443 * A000141 A008530 A033486
Adjacent sequences: A153789 A153790 A153791 * A153793 A153794 A153795
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KEYWORD
| easy,nonn,changed
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Jan 01 2009
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