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A188584
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Numerator in first column of matrix exponential of A175992.
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1
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1, 1, 1, 3, 1, 2, 1, 13, 3, 2, 1, 7, 1, 2, 2, 73, 1, 7, 1, 7, 2, 2, 1, 17, 3, 2, 13, 7, 1, 5, 1, 167, 2, 2, 2, 27, 1, 2, 2, 17, 1, 5, 1, 7, 7, 2, 1, 209, 3, 7, 2, 7, 1, 17, 2, 17, 2, 2, 1, 10, 1, 2, 7, 4051, 2, 5, 1, 7, 2, 5, 1, 47, 1, 2, 7, 7, 2, 5, 1, 209, 73, 2, 1, 10, 2, 2, 2, 17, 1, 10, 2, 7, 2, 2, 2
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OFFSET
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1,4
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COMMENTS
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Numerator in first column of exp(M) = sum(n>=0,M^n/n!) where M is the triangular matrix given as A175992.
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LINKS
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PROG
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(PARI)
A175992(n, k)=if(k==n, 0, if(n%k==0, 1, 0));
N=40; /* that many terms */
M=matrix(N, N, r, c, A175992(r, c) );
E=sum(j=0, N, M^j/j!); /* matrix exponential */
c1=E[, 1]; /* first column */
vector(N, j, numerator(c1[j])) /* show terms */ /* Joerg Arndt, Apr 16 2011 */
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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EXTENSIONS
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Added sequence terms and changed title and comment lines. [Mats Granvik, Apr 14 2011]
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STATUS
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approved
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