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 A185621 Column 1 of triangular matrix T = A185620, which satisfies: T^3 - T^2 + I = SHIFT_LEFT(T). 3

%I

%S 1,1,3,10,42,226,1525,12555,123098,1408656,18499835,274937571,

%T 4569703790,84104161618,1699644180677,37442806230267,893577983768401,

%U 22976420374082264,633487846228307145,18649221873212499505

%N Column 1 of triangular matrix T = A185620, which satisfies: T^3 - T^2 + I = SHIFT_LEFT(T).

%o (PARI) {A185620(n, k)=local(A=Mat(1), B); for(m=1, n, B=A^3-A^2+A^0;

%o A=matrix(m+1, m+1); for(i=1, m+1, for(j=1, i, if(i<2|j==i, A[i, j]=1,

%o if(j==1, A[i, j]=1, A[i, j]=B[i-1, j-1]))))); return(A[n+1, k+1])}

%o /* Column 1: */ {a(n)=A185620(n+1, 1)}

%Y Cf. A185620, A185622, A185623.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Feb 01 2011

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Last modified March 28 19:22 EDT 2023. Contains 361596 sequences. (Running on oeis4.)