A158166 Number of nondecreasing integer sequences of length 32 with sum zero and sum of absolute values 2n.

1, 4, 9, 25, 49, 121, 225, 484, 900, 1764, 3136, 5929, 10201, 18225, 30976, 53361, 88206, 148207, 240026, 392880, 626530, 1002037, 1570135, 2469184, 3808379, 5880199, 8950243, 13606983, 20425653, 30634575, 45413230, 67211395, 98522124

Offset

1,2

Links

R. H. Hardin, Table of n, a(n) for n=1..235

Formula

a(n) = A000041(n)^2 for n <= 16.

a(n) = A000041(n)^2 - cumulative A000712(2*n-1-length), 0 <= 2*n-1-length <= floor(n/2) [empirical].

Crossrefs

Sequence in context: A158163 A158164 A158165 * A158167 A158168 A158169

Adjacent sequences: A158163 A158164 A158165 * A158167 A158168 A158169

Keyword

nonn

Author

R. H. Hardin, Mar 13 2009

Status

approved