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A136572 Triangle read by rows: row n consists of n zeros followed by n!. 8
1, 0, 1, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, 0, 0, 5040, 0, 0, 0, 0, 0, 0, 0, 0, 40320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 362880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3628800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

A136572 * A007318 = A021012(unsigned). A007318 * A136572 = A008279

LINKS

Reinhard Zumkeller, Rows n = 0..100 of triangle, flattened

FORMULA

Triangle, n zeros followed by n! T(n,k): n! * 0^(n-k), 0<=k<=n. As an infinite lower triangular matrix, A000142 (1, 1, 2, 6, 24, 120,...) in the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle are:

1;

0, 1;

0, 0, 2;

0, 0, 0, 6;

0, 0, 0, 0, 24;

0, 0, 0, 0, 0, 120;

...

MATHEMATICA

Table[PadLeft[{n!}, n+1, 0], {n, 0, 20}]//Flatten (* Harvey P. Dale, Oct 22 2016 *)

PROG

(Haskell)

a136572 n k = a136572_tabl !! n !! k

a136572_row n = a136572_tabl !! n

a136572_tabl = map fst $ iterate f ([1], 1) where

   f (row, i) = (0 : map (* i) row, i + 1)

-- Reinhard Zumkeller, Nov 18 2012

CROSSREFS

Cf. A000142, A021012, A008279.

Sequence in context: A082399 A051883 A132792 * A262679 A326390 A053203

Adjacent sequences:  A136569 A136570 A136571 * A136573 A136574 A136575

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jan 07 2008

STATUS

approved

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Last modified March 31 17:36 EDT 2020. Contains 333151 sequences. (Running on oeis4.)