A058918 Number of elements required for synthesis of rational function of degree n by modified Bott and Duffin method.

1, 5, 7, 15, 19, 35

Offset

1,2

Comments

a(8)=75, a(10)=155, a(12)=315, a(14)=635, a(16)=1275, a(18)=2555, a(20)=5115, a(30)=163835 [from Carlson]. - Sean A. Irvine, Sep 05 2022

References

E. A. Guilleman, Synthesis of Passive Networks, Wiley, 1957, p. 410.

S. N. Hunt, An Evaluation of Miyata's Driving-Point Impedance Synthesis Procedure, S. M. Thesis, MIT, Jun, 1955.

Links

Table of n, a(n) for n=1..6.

Richard Eric Carlson, Investigations of the Miyata synthesis technique, MSc Thesis, Naval Postgraduate School, 1970, see p. 46.

Crossrefs

Sequence in context: A320381 A309292 A050851 * A079360 A314365 A314366

Adjacent sequences: A058915 A058916 A058917 * A058919 A058920 A058921

Keyword

nonn,more

Author

N. J. A. Sloane, Jan 11 2001

Extensions

Apparently Hunt gives first 30 terms.

Status

approved