A384282 a(n) is the n-th q-Catalan number for q=n.
1, 1, 5, 847, 18245201, 100333200992026, 228658497157753687896157, 319559330566264937870155968502833579, 380933302489206359659857650468008737411766944866881, 514667012348784999156727812545930551654233884899853599864429378680766
Offset: 0
Keywords
Crossrefs
Main diagonal of A384437.
Programs
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Mathematica
Table[QBinomial[2*n, n, n]/QBinomial[n+1, 1, n], {n, 0, 10}] (* Vaclav Kotesovec, May 29 2025 *) -
Sage
from sage.combinat.q_analogues import q_catalan_number def a(n): return q_catalan_number(n, n)
Formula
a(n) ~ n^(n*(n-1)). - Vaclav Kotesovec, May 29 2025