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A104448 Row sums of triangle A104446. 1

%I #6 Jun 13 2017 01:29:44

%S 1,3,6,13,33,101,372,1624,8263,48285,320031,2380114,19675986,

%T 179314868,1788473424,19398149629,227510745445,2871040422932,

%U 38810001746171,559745948482030,8582882169611759,139467832061599433

%N Row sums of triangle A104446.

%C A104446 equals the square of triangular matrix A104445, read by rows, where X=[A104445] satisfies: SHIFT_LEFT_UP(X) = X^2 - X + I.

%F a(n) = A091352(n) + A091352(n-1) for n>0.

%o (PARI) a(n)=local(A=Mat(1),B);for(m=1,n+1,B=A^2-A+A^0; A=matrix(m+1,m+1);for(i=1,m+1, for(j=1,i, if(i<2 || j==i,A[i,j]=1,if(j==1,A[i,j]=1,A[i,j]=B[i-1,j-1]))))); return(sum(k=1,n+1,(A^2)[n+1,k]))

%Y Cf. A104446, A104445, A091352, A091351.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Mar 08 2005

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