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A178718
a(n) is the sum of entries of n-th Kostka matrix for the partitions of n.
5
1, 3, 7, 21, 57, 182, 565, 1931, 6670, 24537, 92337, 364602, 1477148, 6219031, 26875932, 119930947, 548688443, 2580814003, 12425175838, 61302331782, 309055818656, 1592723862598, 8374123173858, 44917765035082, 245452258746785, 1366116578058731, 7736098938006873, 44558958700083896
OFFSET
1,2
COMMENTS
a(n) is the number of symmetric nonnegative integer matrices with sum of entries equal to n, no zero rows or columns, and weakly decreasing row and column sums. - Ludovic Schwob, Aug 29 2023
LINKS
EXAMPLE
For n=4, {1,1,1,1,1} + {0,1,1,2,3} + {0,0,1,1,2} + {0,0,0,1,3} + {0,0,0,0,1} = 21.
MATHEMATICA
See Meeussen link.
CROSSREFS
Row sums of A104778.
Sequence in context: A374721 A375016 A104779 * A244897 A091650 A096240
KEYWORD
nonn
AUTHOR
Wouter Meeussen, Dec 26 2010
EXTENSIONS
a(21) onwards from Ludovic Schwob, Feb 22 2023
STATUS
approved