A144250 Eigentriangle of A085478: T(n,k) = A085478(n,k) * A125273(k).

1, 1, 1, 1, 3, 2, 1, 6, 10, 6, 1, 10, 30, 42, 23, 1, 15, 70, 168, 207, 106, 1, 21, 140, 504, 1035, 1166, 567, 1, 28, 252, 1260, 3795, 6996, 7371, 3434, 1, 36, 420, 2772, 11385, 30316, 51597, 51510, 23137, 1, 45, 660, 5544, 29601, 106106, 257985, 412080, 393329, 171174

Offset

0,5

Links

Andrew Howroyd, Table of n, a(n) for n = 0..1325 (rows 0..50)

Example

First few rows of the triangle =
  1;
  1,  1;
  1,  3,   2;
  1,  6,  10,   6;
  1, 10,  30,  42,   23;
  1, 15,  70, 168,  207,  106;
  1, 21, 140, 504, 1035, 1166, 567;
  ...
Row 4 = (1, 10, 30, 42, 23) = termwise products of (1, 10, 15, 7, 1) and (1, 1, 2, 6, 23) = (1*1, 10*1, 15*2, 7*6, 1*23); where (1, 10, 15, 7, 1) = row 4 of triangle A085478.

Crossrefs

Row sums are A125273(n+1).

Main diagonal is A125273.

Cf. A085478.

Sequence in context: A211955 A088617 A190909 * A156367 A193593 A308616

Adjacent sequences: A144247 A144248 A144249 * A144251 A144252 A144253

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 16 2008

Extensions

Definition corrected by Gary W. Adamson, Nov 05 2008

a(36) onwards from Andrew Howroyd, Sep 23 2025

Status

approved