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Search: id:A104561
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A104561 Column 0 of triangle A104560. +0
2
1, -1, 1, -2, 6, -30, 204, -1944, 23340, -360060, 6692280, -151908120, 4032593040, -126425330640, 4537069829880, -187762669281600, 8751745668796200, -462088269954518760, 27132285729049971120, -1779812144439507990000, 128512316060872730854560 (list; graph; listen)
OFFSET

0,4

COMMENT

A104560 equals the matrix inverse of A104559, where A104559(n,k) = C(n-[k/2],[(k+1)/2])*C(n-[(k+1)/2],[k/2]).

PROGRAM

(PARI) {a(n)=local(M); M=matrix(n+1, n+1, m, j, if(m>=j, binomial(m-1-(j-1)\2, j\2)*binomial(m-1-j\2, (j-1)\2))); return((M^-1)[n+1, 1])}

CROSSREFS

Cf. A104559, A104560.

Sequence in context: A009645 A112385 A078700 this_sequence A127482 A118747 A129779

Adjacent sequences: A104558 A104559 A104560 this_sequence A104562 A104563 A104564

KEYWORD

sign

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 16 2005

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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