Program Output for September 2019 Puzzler:

32 Straight Solutions:
Display order: 1, 2, 3, 4, 5, 6, 7 = 
      1-2-3-4-5-6-7

(1, 13, 3, 11, 5, 9, 7)
(3, 9, 7, 11, 1, 13, 5)
(3, 11, 1, 13, 7, 5, 9)
(3, 11, 1, 13, 7, 9, 5)
(3, 13, 1, 9, 7, 11, 5)
(5, 9, 7, 1, 13, 3, 11)
(5, 9, 7, 13, 1, 11, 3)
(5, 9, 11, 3, 13, 1, 7)
(5, 11, 7, 9, 1, 13, 3)
(5, 11, 9, 1, 13, 3, 7)
(5, 13, 1, 11, 7, 9, 3)
(5, 13, 1, 11, 9, 3, 7)
(7, 1, 13, 3, 11, 9, 5)
(7, 3, 9, 11, 1, 13, 5)
(7, 3, 13, 1, 9, 11, 5)
(7, 5, 9, 3, 11, 1, 13)
(7, 9, 5, 11, 3, 13, 1)
(7, 11, 1, 13, 5, 3, 9)
(7, 11, 5, 3, 13, 1, 9)
(7, 13, 1, 11, 3, 5, 9)
(9, 1, 13, 3, 5, 11, 7)
(9, 1, 13, 3, 7, 5, 11)
(9, 3, 5, 13, 1, 11, 7)
(9, 3, 7, 5, 13, 1, 11)
(9, 5, 3, 11, 1, 13, 7)
(9, 5, 7, 1, 13, 3, 11)
(9, 5, 7, 13, 1, 11, 3)
(11, 1, 13, 5, 7, 3, 9)
(11, 3, 13, 1, 7, 5, 9)
(11, 3, 13, 1, 7, 9, 5)
(11, 5, 7, 3, 13, 1, 9)
(13, 1, 11, 3, 9, 5, 7)

48 Branched Solutions:
Display order: 1, 2, 3, 4, 5, 6, 7 = 
     1       6
       3-4-5
     2       7

(1, 3, 13, 5, 11, 7, 9)
(1, 3, 13, 5, 11, 9, 7)
(3, 1, 13, 5, 11, 7, 9)
(3, 1, 13, 5, 11, 9, 7)
(3, 5, 7, 13, 1, 9, 11)
(3, 5, 7, 13, 1, 11, 9)
(3, 5, 13, 1, 7, 9, 11)
(3, 5, 13, 1, 7, 11, 9)
(3, 7, 13, 1, 9, 5, 11)
(3, 7, 13, 1, 9, 11, 5)
(3, 9, 5, 13, 1, 7, 11)
(3, 9, 5, 13, 1, 11, 7)
(5, 3, 7, 13, 1, 9, 11)
(5, 3, 7, 13, 1, 11, 9)
(5, 3, 13, 1, 7, 9, 11)
(5, 3, 13, 1, 7, 11, 9)
(5, 7, 3, 9, 1, 11, 13)
(5, 7, 3, 9, 1, 13, 11)
(5, 11, 9, 1, 13, 3, 7)
(5, 11, 9, 1, 13, 7, 3)
(7, 3, 13, 1, 9, 5, 11)
(7, 3, 13, 1, 9, 11, 5)
(7, 5, 3, 9, 1, 11, 13)
(7, 5, 3, 9, 1, 13, 11)
(7, 9, 11, 5, 13, 1, 3)
(7, 9, 11, 5, 13, 3, 1)
(7, 11, 1, 13, 5, 3, 9)
(7, 11, 1, 13, 5, 9, 3)
(9, 3, 5, 13, 1, 7, 11)
(9, 3, 5, 13, 1, 11, 7)
(9, 7, 11, 5, 13, 1, 3)
(9, 7, 11, 5, 13, 3, 1)
(9, 11, 1, 13, 7, 3, 5)
(9, 11, 1, 13, 7, 5, 3)
(9, 11, 7, 1, 13, 3, 5)
(9, 11, 7, 1, 13, 5, 3)
(11, 5, 9, 1, 13, 3, 7)
(11, 5, 9, 1, 13, 7, 3)
(11, 7, 1, 13, 5, 3, 9)
(11, 7, 1, 13, 5, 9, 3)
(11, 9, 1, 13, 7, 3, 5)
(11, 9, 1, 13, 7, 5, 3)
(11, 9, 7, 1, 13, 3, 5)
(11, 9, 7, 1, 13, 5, 3)
(11, 13, 1, 9, 3, 5, 7)
(11, 13, 1, 9, 3, 7, 5)
(13, 11, 1, 9, 3, 5, 7)
(13, 11, 1, 9, 3, 7, 5)