A159346 Triangle read by rows: every third term of every third row of A008292.

1, 1, 1, 1, 2416, 1, 1, 455192, 455192, 1, 1, 45533450, 2275172004, 45533450, 1, 1, 3572085255, 3207483178157, 3207483178157, 3572085255, 1, 1, 251732291184, 2527925001876036, 37307713155613000, 2527925001876036, 251732291184, 1, 1, 16871482830550, 1454842842001939656

Offset: 0

Author

Roger L. Bagula, Dec 13 2010

Keywords

• nonn
• tabl

Examples

			Triangle begins:
  {1},
  {1, 1},
  {1, 2416, 1},
  {1, 455192, 455192, 1},
  {1, 45533450, 2275172004, 45533450, 1},
  {1, 3572085255, 3207483178157, 3207483178157, 3572085255, 1},
  ...
		

Links

• G. C. Greubel, Rows n = 0..100 of triangle, flattened

Crossrefs

Cf. A008292, A085503.

Programs

Mathematica

<< DiscreteMath`Combinatorica`
k = 3;
a = Table[Table[Eulerian[n + 1, k*m], {m, 0, Floor[n/k]}], {n, 0, 10*k,k}];
Flatten[%]

Formula

T(n, k) = A008292(3*n+1, 3*k+1). - Jason Yuen, Feb 04 2025

Extensions

Edited by N. J. A. Sloane, Jan 01 2011