A158184 Number of nondecreasing integer sequences of length 50 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, 88209, 148225, 240100, 393129, 627264, 1004004, 1575025, 2480625, 3833764, 5934093, 9060082, 13823450, 20838976, 31404082, 46810997, 69700899, 102868926

Offset

1,2

Comments

a(n) = A000041(n)^2 for n<=25

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

Links

R. H. Hardin, Table of n, a(n) for n=1..191

Crossrefs

Sequence in context: A158181 A158182 A158183 * A001255 A357754 A133019

Adjacent sequences: A158181 A158182 A158183 * A158185 A158186 A158187

Keyword

nonn

Author

R. H. Hardin Mar 13 2009

Status

approved