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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 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.)