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A361962 Total number of 2-Fuss-skew paths of semilength n. 1
2, 14, 118, 1114, 11306, 120534, 1331374, 15103410, 174935250, 2060200670, 24595806758, 296993911690, 3620853162618, 44509749949094, 551065497319006, 6865424096224610, 86005892134892962, 1082728353985352878, 13690429445139361494, 173792202854983764666, 2214092570427696031434 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Toufik Mansour, Jose Luis Ramirez, Enumration of Fuss-skew paths, Ann. Math. Inform. 55 (2022) 125-136, table 1, l=2.
FORMULA
D-finite with recurrence 10*n*(2*n+1)*a(n) +3*(-121*n^2+155*n-46)*a(n-1) +3*(431*n^2-1579*n+1418)*a(n-2) -(961*n-2440) *(n-3) *a(n-3) -85*(n-3)*(n-4)*a(n-4)=0
MAPLE
FussSkew := 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)
* 3^k*2^(n*(l-2)+2*j-k+1), k=0..j) ;
end do:
a/n ;
end proc:
seq(FussSkew(2, n), n=1..40) ;
CROSSREFS
Cf. A002212 (1-Fuss-skew), A361963 (3-Fuss-skew)
Sequence in context: A277467 A208393 A370671 * A192457 A351856 A155728
KEYWORD
nonn,easy
AUTHOR
R. J. Mathar, Mar 31 2023
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)