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A350269

Triangle read by rows, T(n, k) = (n - k)!*(n - 1)^k, for 0 <= k <= n.

1, 1, 0, 2, 1, 1, 6, 4, 4, 8, 24, 18, 18, 27, 81, 120, 96, 96, 128, 256, 1024, 720, 600, 600, 750, 1250, 3125, 15625, 5040, 4320, 4320, 5184, 7776, 15552, 46656, 279936, 40320, 35280, 35280, 41160, 57624, 100842, 235298, 823543, 5764801

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

Triangle starts:

[0] 1

[1] 1, 0

[2] 2, 1, 1

[3] 6, 4, 4, 8

[4] 24, 18, 18, 27, 81

[5] 120, 96, 96, 128, 256, 1024

[6] 720, 600, 600, 750, 1250, 3125, 15625

[7] 5040, 4320, 4320, 5184, 7776, 15552, 46656, 279936

[8] 40320, 35280, 35280, 41160, 57624, 100842, 235298, 823543, 5764801

MAPLE

A350269 := (n, k) -> (n - k)!*(n - 1)^k:

seq(seq(A350269(n, k), k = 0..n), n = 0..9);

MATHEMATICA

T[n_, k_] := If[n - 1 == k == 0, 1, (n - k)! * (n - 1)^k]; Table[T[n, k], {n, 0, 8}, {k, 0, n}] // Flatten (* Amiram Eldar, Dec 25 2021 *)

CROSSREFS

Cf. A000142 (first column), A001563 (second column), A000312 (subdiagonal), A065440 (main diagonal), A350268 (row sums).

Sequence in context: A135899 A327816 A047920 * A249673 A144655 A190782

Adjacent sequences: A350266 A350267 A350268 * A350270 A350271 A350272

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Dec 25 2021

STATUS

approved

URL: https://oeis.org/A350269

⇱ A350269 - OEIS