code: def triangle_sequence(creation_sequence):
      """
      Return triangle sequence for the given threshold graph creation sequence.
  
      """
      cs = creation_sequence
      seq = []
      dr = cs.count(
          "d"
      )  # number of d's to the right of the current pos
      dcur = (
          (dr - 1) * (dr - 2) // 2
      )  # number of triangles through a node of clique dr
      irun = 0  # number of i's in the last run
      drun = 0  # number of d's in the last run
      for i, sym in enumerate(cs):
          if sym == "d":
              drun += 1
              tri = dcur + (dr - 1) * irun  # new triangles at this d
          else:  # cs[i]="i":
              if prevsym == "d":  # new string of i's
                  dcur += (
                      dr - 1
                  ) * irun  # accumulate shared shortest paths
                  irun = 0  # reset i run counter
                  dr -= drun  # reduce number of d's to right
                  drun = 0  # reset d run counter
              irun += 1
              tri = dr * (dr - 1) // 2  # new triangles at this i
          seq.append(tri)
          prevsym = sym
      return seq
  
imports: from math import sqrt
  import networkx
  from networkx.utils import py_random_state
label_desc: Use image node_id 13 for calling a global function with example usage: triangle_sequence(creation_sequence) and returns: seq