|
| |
|
|
A094384
|
|
Determinant of n X n partial Hadamard matrix with coefficient m(i,j) 1<=i,j<=n (see comment).
|
|
0
| |
|
|
1, -2, 4, 16, -32, -128, -512, 4096, -8192, -32768, -131072, 1048576, 4194304, -33554432, 268435456, 4294967296, -8589934592, -34359738368, -137438953472, 1099511627776, 4398046511104, -35184372088832, 281474976710656
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| Let M(infinity) be the infinite matrix with coefficient m(i,j) i>=1, j>=1 defined as follows : M(0)=1 and M(k) is the 2^k X 2^k matrix following the recursion : +M(k-1)-M(k-1) M(k)= -M(k-1)-M(k-1)
|
|
|
FORMULA
| It appears that abs(a(n))=2^A000788(n). What is the rule for signs? Does sum(k=1, n, a(k+1)/a(k))=0 iff n is in A073536 ?
|
|
|
EXAMPLE
| M(2)=/1,-1/-1,-1/ then a(2)=detM(2)=-2
|
|
|
CROSSREFS
| Sequence in context: A171381 A145119 A081411 * A053038 A001088 A101926
Adjacent sequences: A094381 A094382 A094383 * A094385 A094386 A094387
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 03 2004
|
| |
|
|
