A361965 Total number of peaks in 3-Fuss-skew paths of semilength n.
4, 96, 2672, 78848, 2400896, 74568704, 2347934464, 74675511296, 2393372833792, 77176031297536, 2500887165493248, 81372026697351168, 2656708513978580992, 86992366046604165120, 2855701159218522030080, 93950313500933860884480, 3096866628586659248603136
Offset: 1
Links
- Toufik Mansour, Jose Luis Ramirez, Enumration of Fuss-skew paths, Ann. Math. Inform. 55 (2022) 125-136, table 2, l=3.
Programs
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Maple
FussSkewP := proc(l,n) local a,j,k ; a := 0 ; for j from 0 to n do a := a+sum( binomial(n,j) *binomial(j,k) *binomial(n*(l-1),n-2*j+k-1) * 2^(n*(l-2)+2*j-k+1)*3^(k-1)*(3*(n-j)+k),k=0..j) ; end do: a/n ; end proc: seq(FussSkewP(3,n),n=1..40) ;