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Search: id:A085750
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| A085750 |
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Determinant of the symmetric n X n matrix A defined by A[i,j] = |i-j| for 1 <= i,j <= n. |
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+0
5
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| 0, -1, 4, -12, 32, -80, 192, -448, 1024, -2304, 5120, -11264, 24576, -53248, 114688, -245760, 524288, -1114112, 2359296, -4980736, 10485760, -22020096, 46137344, -96468992, 201326592, -419430400, 872415232, -1811939328, 3758096384
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Hankel transform of A100071. Also Hankel transform of C(2n-2,n-1)(-1)^(n-1). Inverse binomial transform of -n. - Paul Barry (pbarry(AT)wit.ie), Jan 11 2007
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
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FORMULA
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a(n) = (-1)^(n+1) * (n-1) * 2^(n-2) = (-1)^(n+1) * A001787(n-1)
G.f.: -x/(1+2x)^2; - Paul Barry (pbarry(AT)wit.ie), Jan 11 2007
a(n)=-4*a(n-1)-4*a(n-2); a(1)=0, a(1)=-1. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 03 2008]
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MAPLE
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a:=n->sum ((-2)^n, j=0..n): seq(-a(n), n=-1..30); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 17 2008]
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CROSSREFS
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Essentially the same as A001787.
Sequence in context: A118885 A097392 A090634 this_sequence A097067 A139756 A001787
Adjacent sequences: A085747 A085748 A085749 this_sequence A085751 A085752 A085753
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KEYWORD
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sign
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 21 2003
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EXTENSIONS
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More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 16 2008
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