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Search: id:A134582
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| 0, 12, 32, 60, 96, 140, 192, 252, 320, 396, 480, 572, 672, 780, 896, 1020, 1152, 1292, 1440, 1596, 1760, 1932, 2112, 2300, 2496, 2700, 2912, 3132, 3360, 3596, 3840, 4092, 4352, 4620, 4896, 5180, 5472, 5772, 6080, 6396, 6720, 7052, 7392, 7740, 8096, 8460
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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R. E. Borcherds, E. Freitag, R. Weissauer, A Siegel cusp form of degree 12 and weight 12, arXiv:math/9805132, row A_2 page 6.
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FORMULA
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O.g.f.: 4-12/(-1+x)^2-8/(-1+x)^3 . a(n) = 4*A005563(n-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 24 2008
a(n)=8*n+a(n-1)-4 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
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EXAMPLE
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Geometry: denote castle by x.
From
xx
xx
we get (2*1)^2-4=0
From
******
******
**xx**
**xx**
******
******
we get (2*3)^2-4=32
From (chess)
********
********
********
***xx***
***xx***
********
********
********
we get 8*8-4=60 [(2*4)^2-4=60]
etc...
For n=2, a(2)=8*2+0-4=12; n=3, a(3)=8*3+12-4=32; n=4, a(4)=8*4+32-4=60 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
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MAPLE
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seq((2*k)^2-4, k=1..46);
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MATHEMATICA
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lst={}; Do[AppendTo[lst, (2*n)^2-4], {n, 1, 5!}]; lst...and/or... s=-4; lst={}; Do[s+=n+1; AppendTo[lst, s], {n, 3, 6!, 8}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 25 2008]
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CROSSREFS
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Sequence in context: A071336 A051519 A166959 this_sequence A081268 A068381 A143238
Adjacent sequences: A134579 A134580 A134581 this_sequence A134583 A134584 A134585
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KEYWORD
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nonn,new
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AUTHOR
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Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 23 2008
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