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A174647
Determinant of the matrix a(i,j) = 1 if Abs(i-j) <2 and -1 in the rest.
0
-4, 0, 0, 0, -64, 0, 256, 1024, 0, -4096, -12288, 0, 49152, 131072, 0, -524288, -1310720, 0, 5242880, 12582912, 0, -50331648, -117440512, 0, 469762048, 1073741824, 0, -4294967296, -9663676416, 0, 38654705664, 85899345920, 0
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OFFSET
3,1
LINKS
Table of n, a(n) for n=3..35.
FORMULA
Empirical g.f.: -4*x^3*(8*x^3+4*x^2-2*x+1) / ((2*x+1)*(4*x^2-2*x+1)^2). -
Colin Barker
, Jun 20 2013
EXAMPLE
Det({ {1, 1, -1, -1, -1, -1, -1}, {1, 1, 1, -1, -1, -1, -1}, {-1, 1, 1, 1, -1, -1, -1}, {-1, -1, 1, 1, 1, -1, -1}, {-1, -1, -1, 1, 1, 1, -1}, {-1, -1, -1, -1, 1, 1, 1}, {-1, -1, -1, -1, -1, 1, 1} }=-64 => a(7)=-64
CROSSREFS
Sequence in context:
A057386
A099306
A228630
*
A258644
A169770
A287633
Adjacent sequences:
A174644
A174645
A174646
*
A174648
A174649
A174650
KEYWORD
sign
AUTHOR
José María Grau Ribas
, Mar 25 2010
STATUS
approved
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Last modified May 17 10:20 EDT 2024. Contains 372594 sequences. (Running on oeis4.)