0,3

Eigensequence of the reversed triangle (A085478) = A125273: (1, 1, 2, 6, 23, 106, 567,...). Eigentriangle A144252 has row sums of A144251 shifted: (1, 2, 6, 24, 122,...) with right border = A144251.

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

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

A054142, Cf. A144252, A054142, A085478

Sequence in context: A114779 A144167 A104983 this_sequence A052862 A129101 A013068

Adjacent sequences: A144248 A144249 A144250 this_sequence A144252 A144253 A144254

nonn

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 16 2008