A360174 Triangle read by rows. T(n, k) = (k + 1) * abs(Stirling1(n, k)).

1, 0, 2, 0, 2, 3, 0, 4, 9, 4, 0, 12, 33, 24, 5, 0, 48, 150, 140, 50, 6, 0, 240, 822, 900, 425, 90, 7, 0, 1440, 5292, 6496, 3675, 1050, 147, 8, 0, 10080, 39204, 52528, 33845, 11760, 2254, 224, 9, 0, 80640, 328752, 472496, 336420, 134694, 31752, 4368, 324, 10

Offset

0,3

Links

Table of n, a(n) for n=0..54.

Example

Triangle T(n, k) starts:
[0] 1;
[1] 0,     2;
[2] 0,     2,     3;
[3] 0,     4,     9,     4;
[4] 0,    12,    33,    24,     5;
[5] 0,    48,   150,   140,    50,     6;
[6] 0,   240,   822,   900,   425,    90,    7;
[7] 0,  1440,  5292,  6496,  3675,  1050,  147,   8;
[8] 0, 10080, 39204, 52528, 33845, 11760, 2254, 224, 9;

Maple

T := (n, k) -> (k + 1)*abs(Stirling1(n, k)):
for n from 0 to 8 do seq(T(n, k), k = 0..n) od;

Crossrefs

Cf. A208529 (column 1), A006002 (subdiagonal), A000774 (row sums).

Cf. A069138 (Stirling2 counterpart), A360205 (Lah counterpart).

Sequence in context: A269591 A262878 A317239 * A089596 A319876 A105805

Adjacent sequences: A360171 A360172 A360173 * A360175 A360176 A360177

Keyword

nonn,tabl

Author

Peter Luschny, Feb 08 2023

Status

approved