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A156991 Triangle T(n,k) read by rows: T(n,k) = n! * binomial(n + k - 1, n). 2
1, 0, 1, 0, 2, 6, 0, 6, 24, 60, 0, 24, 120, 360, 840, 0, 120, 720, 2520, 6720, 15120, 0, 720, 5040, 20160, 60480, 151200, 332640, 0, 5040, 40320, 181440, 604800, 1663200, 3991680, 8648640, 0, 40320, 362880, 1814400, 6652800, 19958400, 51891840 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums give A092956(n-1) for n > 0.

Apart from the left column of (essentially) zeros, the same as A105725. - R. J. Mathar, Mar 02 2009

REFERENCES

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 98

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

EXAMPLE

{1},

{0, 1},

{0, 2, 6},

{0, 6, 24, 60},

{0, 24, 120, 360, 840},

{0, 120, 720, 2520, 6720, 15120},

{0, 720, 5040, 20160, 60480, 151200, 332640},

{0, 5040, 40320, 181440, 604800, 1663200, 3991680, 8648640},

{0, 40320, 362880, 1814400, 6652800, 19958400, 51891840, 121080960, 259459200},

...

MATHEMATICA

Table[n!*Binomial[n + k - 1, n], {n, 0, 12}, {k, 0, n}]//Flatten

PROG

(PARI) for(n=0, 10, for(k=0, n, n!*binomial(n+k-1, n), ", "))) \\ G. C. Greubel, Nov 19 2017

CROSSREFS

Cf. A092956, A105725.

Sequence in context: A019967 A327280 A241810 * A229586 A294789 A197035

Adjacent sequences:  A156988 A156989 A156990 * A156992 A156993 A156994

KEYWORD

nonn,tabl,easy

AUTHOR

Roger L. Bagula, Feb 20 2009

STATUS

approved

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Last modified January 26 05:10 EST 2020. Contains 331273 sequences. (Running on oeis4.)