A158139 Number of nondecreasing integer sequences of length 5 with sum zero and sum of absolute values 2n.

1, 4, 8, 17, 23, 44, 54, 85, 107, 150, 178, 247, 281, 366, 422, 527, 591, 734, 808, 975, 1079, 1272, 1388, 1633, 1761, 2036, 2204, 2513, 2695, 3068, 3266, 3677, 3923, 4374, 4638, 5167, 5449, 6022, 6362, 6983, 7343, 8054, 8436, 9199, 9647, 10464, 10936

Offset

1,2

Comments

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

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..999

Crossrefs

Sequence in context: A045066 A151911 A037242 * A026393 A345432 A298950

Adjacent sequences: A158136 A158137 A158138 * A158140 A158141 A158142

Keyword

nonn

Author

R. H. Hardin Mar 13 2009

Status

approved