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Search: id:A139098
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| 0, 8, 32, 72, 128, 200, 288, 392, 512, 648, 800, 968, 1152, 1352, 1568, 1800, 2048, 2312, 2592, 2888, 3200, 3528, 3872, 4232, 4608, 5000, 5408, 5832, 6272, 6728, 7200, 7688, 8192, 8712, 9248, 9800, 10368, 10952, 11552, 12168, 12800
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Opposite numbers to the centered 16-gonal numbers (A069129) in the square spiral whose vertices are the triangular numbers (A000217).
8 times the squares. [From Omar E. Pol (info(AT)polprimos.com), Dec 09 2008]
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LINKS
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O. E. Pol, Determinacion geometrica de los numeros primos y perfectos.
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FORMULA
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a(n) = A000290(n)*8. [From Omar E. Pol (info(AT)polprimos.com), Dec 09 2008]
a(n) = A001105(n)*4 = A016742(n)*2. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
a(n)=16*n+a(n-1)-24 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]
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EXAMPLE
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For n=2, a(2)=16*2+0-24=8; n=3, a(3)=16*3+8-24=32; n=4, a(4)=16*4+32-24=72 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]
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MATHEMATICA
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s=0; lst={s}; Do[s+=n++ +8; AppendTo[lst, s], {n, 0, 8!, 16}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
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CROSSREFS
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Cf. A000217, A000290, A016766, A033582, A069129.
Cf. A001105, A016742. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
Sequence in context: A067519 A009245 A018842 this_sequence A130809 A018839 A008412
Adjacent sequences: A139095 A139096 A139097 this_sequence A139099 A139100 A139101
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KEYWORD
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easy,nonn,new
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Apr 25 2008
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