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A102102
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Column 0 of triangular matrix A102101, which shifts upward to exclude the main diagonal under matrix fourth power.
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1
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1, 1, 15, 1000, 189035, 79278446, 63263422646, 86493299281972, 187766975052827491, 611024291011881918991, 2849262494779035461688236, 18362167739517547774072439880, 158759599858376078627687256207242
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OFFSET
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0,3
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COMMENTS
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Analogous to A082161 and A082162, this describes the deterministic completely defined initially connected acyclic automata with 4 inputs and n transient unlabeled states (and a unique absorbing state) with a(0)=1.
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LINKS
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PROG
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(PARI) {a(n)=local(A=matrix(1, 1), B); A[1, 1]=1; for(m=2, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=j, if(j==1, B[i, j]=(A^4)[i-1, 1], B[i, j]=(A^4)[i-1, j])); )); A=B); return(A[n+1, 1])}
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CROSSREFS
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KEYWORD
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nonn,changed
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AUTHOR
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STATUS
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approved
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