J. Carlos Martínez Mori has authored 4 sequences.
A380082
Number of Boolean intervals of rank 2 in the weak order of the Coxeter group of type C_n, for n >= 2.
Original entry on oeis.org
0, 12, 288, 5760, 115200, 2419200, 54190080, 1300561920, 33443020800, 919683072000, 26977370112000, 841693947494400, 27852417898905600, 974834626461696000, 35993893900124160000, 1398619877261967360000, 57063690992288268288000, 2439472789920323469312000, 109058783549379166863360000
Offset: 2
A365627
Number of parking functions of length n with cars parking at most 4 spots away from their preferred spot.
Original entry on oeis.org
1, 1, 3, 16, 125, 1296, 15511, 212978, 3321091, 58196400, 1134161181, 24333706866, 569786870013, 14455456239756, 394940662364775, 11560567008386106, 360947377705705971, 11973823441677468648, 420576028975783973061, 15593290472977894193850
Offset: 0
A365623
T(n,k) is the number of parking functions of length n with cars parking at most k spots away from their preferred spot; square array T(n,k), n>=0, k>=0, read by downward antidiagonals.
Original entry on oeis.org
1, 1, 1, 1, 1, 2, 1, 1, 3, 6, 1, 1, 3, 13, 24, 1, 1, 3, 16, 75, 120, 1, 1, 3, 16, 109, 541, 720, 1, 1, 3, 16, 125, 918, 4683, 5040, 1, 1, 3, 16, 125, 1171, 9277, 47293, 40320, 1, 1, 3, 16, 125, 1296, 12965, 109438, 545835, 362880, 1, 1, 3, 16, 125, 1296, 15511, 166836, 1475691, 7087261, 3628800
Offset: 0
Square array T(n,k) begins:
1, 1, 1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, 1, 1, ...
2, 3, 3, 3, 3, 3, 3, ...
6, 13, 16, 16, 16, 16, 16, ...
24, 75, 109, 125, 125, 125, 125, ...
120, 541, 918, 1171, 1296, 1296, 1296, ...
720, 4683, 9277, 12965, 15511, 16807, 16807, ...
...
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T:= proc(n, k) option remember; `if`(n=0, 1, add(min(i+1, k+1)*
binomial(n-1, i)*T(i, k)*T(n-1-i, k), i=0..n-1))
end:
seq(seq(T(n, d-n), n=0..d), d=0..10); # Alois P. Heinz, Sep 13 2023
A365626
Number of parking functions of length n with cars parking at most 3 spots away from their preferred spot.
Original entry on oeis.org
1, 1, 3, 16, 125, 1171, 12965, 166836, 2455121, 40675881, 749029635, 15173252268, 335303622765, 8026962584007, 206940524177025, 5716136927184348, 168418082791822545, 5272347013042009125, 174760355153742270543, 6114528211048906800708, 225195326302815011830005
Offset: 0
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