A158143 Number of nondecreasing integer sequences of length 9 with sum zero and sum of absolute values 2n.

1, 4, 9, 25, 48, 113, 189, 367, 598, 1031, 1559, 2566, 3681, 5593, 7926, 11480, 15598, 21984, 29080, 39672, 51688, 68384, 87284, 113869, 142723, 181944, 225921, 283427, 346610, 430023, 519663, 635875, 762786, 921749, 1094895, 1313500, 1545683

Offset

1,2

Links

R. H. Hardin, Table of n, a(n) for n=1..643

Formula

a(n) = A000041(n)^2 for n <= 4.

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

Crossrefs

Column k=9 of A389686.

Sequence in context: A350152 A350322 A158142 * A376714 A082200 A244557

Adjacent sequences: A158140 A158141 A158142 * A158144 A158145 A158146

Keyword

nonn

Author

R. H. Hardin, Mar 13 2009

Status

approved