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Search: id:A114601
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A114601 Number of n X n symmetric positive definite matrices with 2's on the main diagonal and -1, 0, or 1 elsewhere. +0
3
1, 3, 23, 393, 13089, 737595, 58969079 (list; graph; listen)
OFFSET

1,2

COMMENT

This gives the number of different values of A + A' where A runs throgh the matrices counted in A086215.

PROGRAM

(PARI) { a(n) = M=matrix(n, n, i, j, 2*(i==j)); r=0; b(1); r } { b(k) = if(k>n, r++; return); forvec(x=vector(k-1, i, [ -1, 1 ]), for(i=1, k-1, M[ k, i ]=M[ i, k ]=x[ i ]); if( matdet(vecextract(M, 2^k-1, 2^k-1), 1)>0, b(k+1) ) ) }

CROSSREFS

Cf. A086215, A085657.

Sequence in context: A092664 A073588 A068338 this_sequence A118195 A055326 A133338

Adjacent sequences: A114598 A114599 A114600 this_sequence A114602 A114603 A114604

KEYWORD

hard,nonn

AUTHOR

Max Alekseyev (maxal(AT)cs.ucsd.edu), Dec 13 2005, Nov 09 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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