A096875 Matrix square of inverse triangle A096651; transforms n-dimensional partitions into (n-2)-dimensional partitions.

1, 0, 1, 0, -2, 1, 0, 1, -2, 1, 0, 3, -1, -2, 1, 0, -6, 9, -3, -2, 1, 0, -3, -7, 15, -5, -2, 1, 0, 23, -27, -6, 21, -7, -2, 1, 0, 9, 15, -32, -5, 27, -9, -2, 1, 0, -141, 360, -267, 16, -6, 33, -11, -2, 1, 0, -74, -1603, 2691, -1216, 161, -11, 39, -13, -2, 1, 0, 1139, 10961, -20469, 11512, -3489, 457, -22, 45, -15, -2, 1, 0, 1119

Offset

0,5

Comments

Also matrix square of triangle A096874. Row sums form A096876.

Links

Table of n, a(n) for n=0..79.

Example

Rows begin:
[1],
[0,1],
[0,-2,1],
[0,1,-2,1],
[0,3,-1,-2,1],
[0,-6,9,-3,-2,1],
[0,-3,-7,15,-5,-2,1],
[0,23,-27,-6,21,-7,-2,1],
[0,9,15,-32,-5,27,-9,-2,1],
[0,-141,360,-267,16,-6,33,-11,-2,1],
[0,-74,-1603,2691,-1216,161,-11,39,-13,-2,1],
[0,1139,10961,-20469,11512,-3489,457,-22,45,-15,-2,1],
[0,1119,-140656,226512,-116125,36536,-8079,968,-41,51,-17,-2,1],
[0,-10921,1858877,-2993422,1507887,-444319,95633,-16387,1768,-70,57,-19,-2,1],...

Crossrefs

Cf. A096651, A096874, A096876.

Sequence in context: A216191 A268834 A285914 * A194514 A324667 A258260

Adjacent sequences: A096872 A096873 A096874 * A096876 A096877 A096878

Keyword

sign,tabl

Author

Paul D. Hanna, Jul 13 2004

Status

approved