A153188 - OEIS

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A153188

Triangle read by rows: T(n,k) = n^k * k!.

1, 1, 1, 1, 2, 8, 1, 3, 18, 162, 1, 4, 32, 384, 6144, 1, 5, 50, 750, 15000, 375000, 1, 6, 72, 1296, 31104, 933120, 33592320, 1, 7, 98, 2058, 57624, 2016840, 84707280, 4150656720, 1, 8, 128, 3072, 98304, 3932160, 188743680, 10569646080, 676457349120

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

OFFSET

0,5

LINKS

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

FORMULA

T(n,k) = Product_{j=1..n} n*j.

EXAMPLE

Triangle T(n,k) begins:

1, 1;

1, 2, 8;

1, 3, 18, 162;

1, 4, 32, 384, 6144;

1, 5, 50, 750, 15000, 375000;

1, 6, 72, 1296, 31104, 933120, 33592320;

1, 7, 98, 2058, 57624, 2016840, 84707280, 4150656720;

...

MATHEMATICA

t[n_, m_] =Product[m*k, {k, 1, n}];

Table[Table[t[n, m], {n, 1, m}], {m, 1, 10}];

Flatten[%]

CROSSREFS

Main diagonal gives A061711.

Row sums give A368561.

Cf. A000165, A008544.

Sequence in context: A200689 A143198 A100064 * A352589 A275980 A343918

Adjacent sequences: A153185 A153186 A153187 * A153189 A153190 A153191

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Dec 20 2008

EXTENSIONS

Formula corrected by Georg Fischer, Oct 24 2024

STATUS

approved