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A391051
Number of combinatorially distinct (n-1)-dimensional links in all edgewise triangulations of a simplex.
1
1, 2, 5, 12, 28, 62, 136, 287, 599, 1224, 2469, 4905, 9644, 18732, 36050, 68721, 129932, 243700, 453844, 839359, 1542603, 2817939, 5118779, 9248378, 16625393, 29742639, 52966525, 93912318, 165818801, 291614947, 510889214, 891763791, 1551114329, 2688846478, 4645924118
OFFSET
0,2
COMMENTS
The empty set is counted as a (-1)-dimensional link (simplicial complex).
LINKS
Duško Jojić and Ognjen Papaz, Links in edgewise triangulations via integer partitions and their shellings, arXiv:2408.12756 [math.CO], 2024-2025.
FORMULA
G.f.: (1/(1-x))*Product_{n>=1}(1-x^n)^(1 - A000041(n+1)).
CROSSREFS
Cf. A000041 (number of partitions).
Sequence in context: A171579 A228638 A202604 * A118898 A111586 A192657
KEYWORD
nonn
AUTHOR
Ognjen Papaz, Nov 26 2025
STATUS
approved