A096322 Limiting sequence formed by rows of A094504 read backwards: rightmost floor(n/2)+1 terms of row n in table A094504.

1, 3, 9, 25, 66, 165, 402, 943, 2163, 4835, 10598, 22785, 48215, 100470, 206620, 419662, 842928, 1675487, 3298688, 6436210, 12453352, 23905923, 45550529

Offset

1,2

Comments

Same sequence, multiplied by four, occurs in A096272.

a(n) is the number of solid partitions with layer structure an integer partition of (2n-2) in exactly (n-1) parts. - Wouter Meeussen, Mar 12 2025

Links

Table of n, a(n) for n=1..23.

Wouter Meeussen, Mma functions for plane and solid partitions

Example

For n=3 the a(3)= 9 solid partitions are generated by the integer partitions of (2n-2) in exactly (n-1) parts with parts =1 and duplicate parts deleted, so just {3} and {2} :
 z[{{3}}], z[{{2,1}}], z[{{1,1,1}}], z[{{2},{1}}], z[{{1,1},{1}}], z[{{1},{1},{1}}] and  z[{{2}}], z[{{1,1}}], z[{{1},{1}}]

Crossrefs

Cf. A000293, A094504, A094508, A096272, A096573, A096574, A096575, A096576, A096577, A096578, A096579, A096580, A096581.

Sequence in context: A002064 A129589 A335472 * A058396 A006809 A081663

Adjacent sequences: A096319 A096320 A096321 * A096323 A096324 A096325

Keyword

nonn,hard,more,changed

Author

Wouter Meeussen, Jun 27 2004

Extensions

Extended to n=22, Wouter Meeussen, Mar 12 2025

Status

approved