A171273 Matrix inverse of A060187.

1, -1, 1, 5, -6, 1, -93, 115, -23, 1, 5993, -7436, 1518, -76, 1, -1272089, 1578757, -322762, 16330, -237, 1, 857402029, -1064110290, 217560951, -11012540, 160571, -722, 1, -1792650585525, 2224835452407, -454875884137, 23025275075, -335768223, 1512581, -2179, 1

Offset

1,4

Comments

The matrix M is the lower triangular matrix corresponding to the rows of A060187, the inverse of M is also lower triangular and this sequence is the rows of that inverse. - Sean A. Irvine, Feb 21 2026

Links

Table of n, a(n) for n=1..36.

Formula

T(n, k) = M^(-1)[n, k] where M[n, k] = A060187(n, k).

Example

Triangle begins:
    1;
   -1,   1;
    5,  -6,   1;
  -93, 115, -23, 1;

Mathematica

m = 2;
A[n_, 1] := 1
A[n_, n_] := 1
A[n_, k_] := (m*n - m*k + 1)A[n - 1, k - 1] + (m*k - (m - 1))A[n - 1, k]
a = Table[A[n, k], {n, 12}, {k, n}]
M[n_] := Table[If[k <= m, a[[m, k]], 0], {k, 1, n}, {m, 1, n}]
Table[Table[Inverse[M[12]][[m, n]], {m, 1, n}], {n, 1, 11}]
Flatten[%]

Crossrefs

Cf. A060187, A055325, A154921,

Sequence in context: A293107 A378348 A113106 * A373396 A157832 A330660

Adjacent sequences: A171270 A171271 A171272 * A171274 A171275 A171276

Keyword

sign,tabl

Author

Roger L. Bagula and Mats Granvik, Dec 06 2009

Extensions

Revised with signs added by Sean A. Irvine, Feb 21 2026

Status

approved