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A105810 Inverse of a Fibonacci-Pascal matrix A105809. +0
4
1, -1, 1, 0, -2, 1, 1, 2, -3, 1, -2, -1, 5, -4, 1, 3, -1, -6, 9, -5, 1, -4, 4, 5, -15, 14, -6, 1, 5, -8, -1, 20, -29, 20, -7, 1, -6, 13, -7, -21, 49, -49, 27, -8, 1, 7, -19, 20, 14, -70, 98, -76, 35, -9, 1, -8, 26, -39, 6, 84, -168, 174, -111, 44, -10, 1, 9, -34, 65, -45, -78, 252, -342, 285, -155, 54, -11, 1 (list; table; graph; listen)
OFFSET

0,5

COMMENT

First column is A105811, row sums are A105812, diagonal sums are (-1)^n.

FORMULA

Riordan array ((1+x-x^2)/(1+x)^2, x/(1+x)); Number triangle T(n, 0)=A105811(n), T(n, m)=-T(n-1, m-1)+T(n-1, m).

EXAMPLE

1;

-1,1;

0,-2,1;

1,2,-3,1;

-2,-1,5,-4,1;

3,-1,-6,9,-5,1;

CROSSREFS

Sequence in context: A141289 A140191 A048207 this_sequence A063726 A112757 A118492

Adjacent sequences: A105807 A105808 A105809 this_sequence A105811 A105812 A105813

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 04 2005

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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