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A350258 Triangle read by rows. T(n, k) = k! * BellPolynomial(n, k). 6
1, 0, 1, 0, 2, 12, 0, 5, 44, 342, 0, 15, 188, 1854, 18144, 0, 52, 908, 11196, 130272, 1545600, 0, 203, 4860, 74106, 1016544, 13818600, 193030560, 0, 877, 28428, 531378, 8535264, 132204600, 2065854240, 33232948560 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..35.

EXAMPLE

Triangle starts:

[0] 1

[1] 0,   1

[2] 0,   2,    12

[3] 0,   5,    44,    342

[4] 0,  15,   188,   1854,   18144

[5] 0,  52,   908,  11196,  130272,   1545600

[6] 0, 203,  4860,  74106, 1016544,  13818600,  193030560

[7] 0, 877, 28428, 531378, 8535264, 132204600, 2065854240, 33232948560

MAPLE

A350258 := (n, k) -> ifelse(n = 0, 1, k! * BellB(n, k)):

seq(seq(A350258(n, k), k = 0..n), n = 0..7);

MATHEMATICA

T[n_, k_] := k! BellB[n, k]; Table[T[n, k], {n, 0, 7}, {k, 0, n}] // Flatten

CROSSREFS

Cf. A350256, A350257, A350259, A350260, A350261, A350262, A350263.

Cf. A000110.

Sequence in context: A079331 A265490 A327780 * A166489 A160367 A016736

Adjacent sequences:  A350255 A350256 A350257 * A350259 A350260 A350261

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Dec 22 2021

STATUS

approved

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Last modified July 1 07:17 EDT 2022. Contains 354952 sequences. (Running on oeis4.)