A144251 Eigensequence of triangle A054142.

1, 1, 2, 6, 24, 122, 758, 5606, 48378, 479532, 5390940, 68022932, 954948752, 14804391270, 251815549396, 4673137101108, 94148342547146, 2050127343000170, 48061939075355080, 1208742383083994580, 32507565146820336836, 932149980847656487522

Offset

0,3

Comments

Eigensequence of the reversed triangle (A085478) = A125273.

Eigentriangle A144252 has row sums of A144251 shifted: (1, 2, 6, 24, 122,...) with right border = A144251.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..376

Formula

a(n) = Sum_{k=0..n-1} A054142(n-1,k)*a(k) for n>0 with a(0)=1.

Example

Triangle A054142 begins:
  1;
  1, 1;
  1, 3, 1;
  1, 5, 6, 1;
  1, 7, 15, 10, 1;
  1, 9, 28, 35, 15, 1;
  ...
a(3) = 6 = 1*1 + 3*1 + 1*2
a(4) = 24 = 1*1 + 5*1 + 6*2 + 1*6

Crossrefs

Cf. A054142, A085478, A144252,

Sequence in context: A352437 A144167 A104983 * A304198 A243806 A201158

Adjacent sequences: A144248 A144249 A144250 * A144252 A144253 A144254

Keyword

nonn

Author

Gary W. Adamson, Sep 16 2008

Extensions

More terms from Seiichi Manyama, May 31 2022

Status

approved