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A213953 Triangle by rows, inverse of A208891. 1
1, -1, 1, 0, -1, 1, 1, -1, -1, 1, 1, 1, -2, -1, 1, -2, 5, 0, -3, -1, 1, -9, 5, 10, -2, -4, -1, 1, -9, -21, 25, 15, -5, -5, -1, 1, 50, -105, -11, 62, 19, -9, -6, -1, 1, 267, -141, -301, 56, 119, 21, -14, -7, -1, 1, 413, 777 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,13

LINKS

Table of n, a(n) for n=0..56.

FORMULA

Inverse of triangle A208891, Pascal's triangle matrix with an appended right border of 1's.

EXAMPLE

Triangle starts:

1;

-1, 1

0, -1, 1

1, -1, -1, 1;

1, 1, -2, -1, 1;

-2, 5, 0, -3, -1, 1;

-9, 5, 10, -2, -4, -1, 1;

-9, -21, 25, 15, -5, -5, -1, 1;

50, -105, -11, 62, 19, -9, -6, -1, 1;

267, -141, -301, 56, 119, 21, -14, -7, -1, 1;

413, 777, -1040, -566, 226, 198, 20, -20, -8, -1, 1;

...

MAPLE

A208891 := proc(n, k)

    if n <0 or k<0 or k>n then

            0;

    elif n = k then

            1 ;

    else

            binomial(n-1, k) ;

    end if;

end proc:

A259456 := proc(n)

    local A, row, col ;

    A := Matrix(n, n) ;

    for row from 1 to n do

        for col from 1 to n do

            A[row, col] := A208891(row-1, col-1) ;

        end do:

    end do:

    LinearAlgebra[MatrixInverse](A) ;

end proc:

A259456(20) ; # R. J. Mathar, Jul 21 2015

CROSSREFS

Cf. A208891, A000587 (first column), A014619 (2nd column), A080956 (4th subdiagonal).

Sequence in context: A153914 A151893 A326566 * A000361 A246596 A135723

Adjacent sequences:  A213950 A213951 A213952 * A213954 A213955 A213956

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Jun 26 2012

STATUS

approved

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Last modified June 2 11:35 EDT 2020. Contains 334771 sequences. (Running on oeis4.)