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A136222 Column 1 of triangle A136220; also equals column 0 of U^2 = A136233 where U = A136228. 5

%I #2 Mar 30 2012 18:37:08

%S 1,2,10,75,753,9534,146353,2647628,55251994,1308089217,34669446816,

%T 1017575959652,32778617719852,1150083357364646,43669478546754372,

%U 1784505372378097160,78098473768259907870,3645038134074497689782

%N Column 1 of triangle A136220; also equals column 0 of U^2 = A136233 where U = A136228.

%C P = A136220 is a triangular matrix where column k of P^3 equals column 0 of P^(3k+3) such that column 0 of P^3 equals column 0 of P shift one place left.

%o (PARI) {a(n)=local(P=Mat(1),U,PShR);if(n==0,1,for(i=0,n, PShR=matrix(#P,#P, r,c, if(r>=c,if(r==c,1,if(c==1,0,P[r-1,c-1]))));U=P*PShR^2; U=matrix(#P+1, #P+1, r,c, if(r>=c, if(r<#P+1,U[r,c], if(c==1,(P^3)[ #P,1],(P^(3*c-1))[r-c+1,1])))); P=matrix(#U, #U, r,c, if(r>=c, if(r<#U,P[r,c], (U^c)[r-c+1,1]))));P[n+2,2])}

%Y Cf. A136220 (P), A136228 (U), A136233 (U^2); other columns of P: A136221, A136223, A136224.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Dec 25 2007

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Last modified December 11 10:53 EST 2023. Contains 367722 sequences. (Running on oeis4.)