OFFSET
1,1
COMMENTS
A sequence generated from a rotated Stirling number of the second kind matrix, companion to A095125.
REFERENCES
R. Aldrovandi, "Special Matrices of Mathematical Physics", World Scientific, 2001, Section 13.3.1, "Inverting Bell Matrices", p. 171.
LINKS
FORMULA
EXAMPLE
MATHEMATICA
a[n_] := (MatrixPower[{{1, 1, 1}, {3, 1, 0}, {1, 0, 0}}, n].{{1}, {1}, {1}})[[2, 1]]; Table[ a[n], {n, 26}] (* Robert G. Wilson v, Jun 01 2004 *)
LinearRecurrence[{2, 3, -1}, {4, 13, 37}, 30] (* Harvey P. Dale, Jan 18 2016 *)
PROG
(PARI) Vec((4+5*x-x^2)/(1-2*x-3*x^2+x^3)+O(x^99)) \\ Charles R Greathouse IV, Sep 25 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Gary W. Adamson, May 29 2004
EXTENSIONS
Edited, corrected and extended by Robert G. Wilson v, Jun 01 2004
STATUS
approved