A143085 Triangle sequence: t(n,m)=(n+1)*(n+m)!.

1, 2, 4, 6, 18, 72, 24, 96, 480, 2880, 120, 600, 3600, 25200, 201600, 720, 4320, 30240, 241920, 2177280, 21772800, 5040, 35280, 282240, 2540160, 25401600, 279417600, 3353011200, 40320, 322560, 2903040, 29030400, 319334400, 3832012800

Offset

1,2

Comments

Row sums are:

{1, 6, 96, 3480, 231120, 24227280, 3660693120, 751426139520, 200919532665600, 67803855263020800, 28174602435225523200}.

Links

Table of n, a(n) for n=1..34.

Formula

t(n,m)=(n+1)*(n+m)!.

Example

{1},
{2, 4},
{6, 18, 72},
{24, 96, 480, 2880},
{120, 600, 3600, 25200, 201600},
{720, 4320, 30240, 241920, 2177280, 21772800},
{5040, 35280, 282240, 2540160, 25401600, 279417600, 3353011200},
{40320, 322560, 2903040, 29030400, 319334400, 3832012800, 49816166400, 697426329600},
{362880, 3265920, 32659200, 359251200, 4311014400, 56043187200, 784604620800, 11769069312000, 188305108992000},
{3628800, 36288000, 399168000, 4790016000, 62270208000, 871782912000, 13076743680000, 209227898880000, 3556874280960000, 64023737057280000}, {39916800, 439084800, 5269017600, 68497228800, 958961203200, 14384418048000, 230150688768000, 3912561709056000, 70426110763008000, 1338096104497152000, 26761922089943040000}

Mathematica

Clear[t, n, m]; t[n_, m_] := (n+1)*(n + m)!; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]

Crossrefs

Sequence in context: A111115 A195328 A294447 * A304756 A005227 A185185

Adjacent sequences: A143082 A143083 A143084 * A143086 A143087 A143088

Keyword

nonn,uned

Author

Roger L. Bagula and Gary W. Adamson, Oct 16 2008

Status

approved