A188583 -id:A188583 - cp's OEIS frontend

A188584 Numerator in first column of matrix exponential of A175992.

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

Offset: 1

Graph
List
Refs
Listen
History
Text
Internal format

Mats Granvik, Apr 04 2011

nonn
frac

Numerator in first column of exp(M) = sum(n>=0,M^n/n!) where M is the triangular matrix given as A175992.

The Dirichlet series that generates the fraction A188584/A188583 is A001113^(Riemann zeta function - 1).

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 */

Added sequence terms and changed title and comment lines. [Mats Granvik, Apr 14 2011]

cp's OEIS Frontend

A188584 Numerator in first column of matrix exponential of A175992.

Views

Author

Keywords

Comments

Programs

PARI

Extensions