A096874 Matrix inverse of triangle A096651; transforms n-dimensional partitions into (n-1)-dimensional partitions.

1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 0, 1, -1, -1, 1, 0, -1, 3, -2, -1, 1, 0, -1, -1, 5, -3, -1, 1, 0, 3, -5, -1, 7, -4, -1, 1, 0, 4, -10, 4, -2, 9, -5, -1, 1, 0, -17, 121, -146, 42, -5, 11, -6, -1, 1, 0, -27, -662, 1155, -591, 130, -11, 13, -7, -1, 1, 0, 118, 5952, -10015, 5327, -1662, 294, -21, 15, -8, -1, 1, 0, 267, -70266, 113346, -57476

Offset

0,18

Comments

Row sums form {1,1,0,0,0,...(zeros continue)}.

Links

Table of n, a(n) for n=0..82.

Example

Rows begin:
[1],
[0,1],
[0,-1,1],
[0,0,-1,1],
[0,1,-1,-1,1],
[0,-1,3,-2,-1,1],
[0,-1,-1,5,-3,-1,1],
[0,3,-5,-1,7,-4,-1,1],
[0,4,-10,4,-2,9,-5,-1,1],
[0,-17,121,-146,42,-5,11,-6,-1,1],
[0,-27,-662,1155,-591,130,-11,13,-7,-1,1],
[0,118,5952,-10015,5327,-1662,294,-21,15,-8,-1,1],
[0,267,-70266,113346,-57476,17435,-3843,565,-36,17,-9,-1,1],
[0,-917,908722,-1473694,746476,-220017,46320,-7821,979,-57,19,-10,-1,1],...

Crossrefs

Cf. A096651.

Sequence in context: A172184 A109865 A206713 * A090046 A202551 A129267

Adjacent sequences: A096871 A096872 A096873 * A096875 A096876 A096877

Keyword

sign,tabl

Author

Paul D. Hanna, Jul 13 2004

Status

approved