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Search: id:A014642
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| A014642 |
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Even octagonal numbers: 4*n*(3*n-1). |
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+0
7
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| 0, 8, 40, 96, 176, 280, 408, 560, 736, 936, 1160, 1408, 1680, 1976, 2296, 2640, 3008, 3400, 3816, 4256, 4720, 5208, 5720, 6256, 6816, 7400, 8008, 8640, 9296, 9976, 10680, 11408, 12160, 12936, 13736, 14560, 15408, 16280, 17176, 18096, 19040, 20008, 21000, 22016
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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8 times pentagonal numbers. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
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FORMULA
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a(n) = A000326(n)*8. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
a(n) = A049450(n)*4 = A033579(n)*2. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
a(n)=24*n+a(n-1)-40 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 14 2009]
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EXAMPLE
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For n=2, a(2)=24*2+0-40=8; n=3, a(3)=24*3+8-40=40; n=4, a(4)=24*4+40-40=96 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 14 2009]
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MATHEMATICA
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s=0; lst={s}; Do[s+=n++ +8; AppendTo[lst, s], {n, 0, 8!, 24}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
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CROSSREFS
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Cf. A000567, A014641, A014793, A014794, A033579.
Cf. A000326. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
Cf. A049450. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
Sequence in context: A154425 A120931 A069083 this_sequence A143943 A135796 A105374
Adjacent sequences: A014639 A014640 A014641 this_sequence A014643 A014644 A014645
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KEYWORD
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nonn,new
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AUTHOR
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Mohammad K. Azarian (ma3(AT)evansville.edu)
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EXTENSIONS
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More terms from Patrick De Geest (pdg(AT)worldofnumbers.com)
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