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A158184 Number of nondecreasing integer sequences of length 50 with sum zero and sum of absolute values 2n. +0
1
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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

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

CROSSREFS

Sequence in context: A158181 A158182 A158183 this_sequence A001255 A133019 A028866

Adjacent sequences: A158181 A158182 A158183 this_sequence A158185 A158186 A158187

KEYWORD

nonn

AUTHOR

Ron Hardin (rhhardin(AT)att.net) Mar 13 2009

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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