43628

Appears in sequences

• Expansion of (1+x^4*C^3)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=9A071752
• Numbers m > 1 such that the fractional part of log_10(m!) is less than at any smaller m > 1.at n=12A249829
• Number of permutations on [n] whose up-down signature has nonnegative partial sums and which have exactly two descents.at n=9A321268
• Number T(n,k) of permutations p of [n] with exactly k descents such that the up-down signature of p has nonnegative partial sums; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows.at n=28A321280