A158144 Number of nondecreasing integer sequences of length 10 with sum zero and sum of absolute values 2n.

1, 4, 9, 25, 49, 118, 207, 414, 697, 1240, 1947, 3299, 4911, 7690, 11260, 16787, 23571, 34111, 46566, 65168, 87425, 118613, 155699, 207823, 267701, 349081, 444442, 569884, 714235, 904372, 1119056, 1396739, 1712996, 2110652, 2561649, 3129206

Offset

1,2

Comments

a(n) = A000041(n)^2 for n<=5

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..550

Crossrefs

Sequence in context: A277900 A344701 A182988 * A247136 A158145 A082180

Adjacent sequences: A158141 A158142 A158143 * A158145 A158146 A158147

Keyword

nonn

Author

R. H. Hardin Mar 13 2009

Status

approved