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Search: id:A016802
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| 0, 16, 64, 144, 256, 400, 576, 784, 1024, 1296, 1600, 1936, 2304, 2704, 3136, 3600, 4096, 4624, 5184, 5776, 6400, 7056, 7744, 8464, 9216, 10000, 10816, 11664, 12544, 13456, 14400, 15376, 16384, 17424
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A bisection of A016742. Sequence arises from reading the line from 0, in the direction 0, 16,... in the square spiral whose vertices are the squares A000290. - Omar E. Pol (info(AT)polprimos.com), May 24 2008
16 times the squares. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
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FORMULA
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a(n) = 16n^2 = A000290(n)*16. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
a(n) = A001105(n)*8 = A016742(n)*4 = A139098(n)*2. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
a(n)=32*n+a(n-1)-48 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 15 2009]
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EXAMPLE
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For n=2, a(2)=32*2+0-48=16; n=3, a(3)=32*3+16-48=64; n=4, a(4)=32*4+64-48=144 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 15 2009]
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MAPLE
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with(finance):seq(add(futurevalue(n, 3, 2), k=1..n), n=0..33); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 20 2008
with(finance):seq(add(cashflows([1, 1, 2], 0 ), k=1..n)^2, n=0..36); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 20 2008
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CROSSREFS
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Cf. A000290, A001539, A016742, A016754, A016814, A016826, A016838.
Cf. A001105, A139098. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
Sequence in context: A043973 A153262 A072128 this_sequence A102860 A136264 A100184
Adjacent sequences: A016799 A016800 A016801 this_sequence A016803 A016804 A016805
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KEYWORD
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nonn,easy,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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