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Eigensequence of triangle A054142.
2

%I #14 May 31 2022 11:22:05

%S 1,1,2,6,24,122,758,5606,48378,479532,5390940,68022932,954948752,

%T 14804391270,251815549396,4673137101108,94148342547146,

%U 2050127343000170,48061939075355080,1208742383083994580,32507565146820336836,932149980847656487522

%N Eigensequence of triangle A054142.

%C Eigensequence of the reversed triangle (A085478) = A125273.

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

%H Seiichi Manyama, <a href="/A144251/b144251.txt">Table of n, a(n) for n = 0..376</a>

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

%e Triangle A054142 begins:

%e 1;

%e 1, 1;

%e 1, 3, 1;

%e 1, 5, 6, 1;

%e 1, 7, 15, 10, 1;

%e 1, 9, 28, 35, 15, 1;

%e ...

%e a(3) = 6 = 1*1 + 3*1 + 1*2

%e a(4) = 24 = 1*1 + 5*1 + 6*2 + 1*6

%Y Cf. A054142, A085478, A144252,

%K nonn

%O 0,3

%A _Gary W. Adamson_, Sep 16 2008

%E More terms from _Seiichi Manyama_, May 31 2022