A167559 The row sums of triangle A167557.

1, 5, 46, 598, 10056, 207960, 5111856, 145721520, 4728528000, 172134253440, 6948393580800, 308058678385920, 14882061698380800, 778136819786726400, 43783908789625804800, 2638014817853286144000, 169455373956672285081600

Offset: 1

Author

Johannes W. Meijer, Nov 10 2009

Keywords

• easy
• nonn

Comments

Triangle A167557 is the lower left triangle of the ED1 array A167546.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..150

Crossrefs

A167546 is the ED1 array.

Equals row sums of triangle A167557.

Programs

Mathematica

Table[Sum[4^(m - 1) *(m - 1)! * (n + m - 2)!/(2*m - 2)!, {m, 1, n}], {n, 1, 10}] (* G. C. Greubel, Jun 15 2016 *)

Formula

a(n) = Sum_{m=1..n} (4^(m-1)*(m-1)!*(n+m-2)!/(2*m-2)!).