A036110 A summarize Fibonacci sequence: summarize the previous two terms!.

2, 2, 22, 32, 1332, 332211, 433231, 14533231, 1524632231, 162524534241, 263544336241, 363564435231, 463554733221, 17364544733221, 37263554634231, 37363554734231, 37364544933221, 1937263554933221, 3927263544835231, 391827264534836231, 293827363544836231

Offset: 0

Author

Floor van Lamoen

Keywords

• base
• easy
• nonn

Comments

From the 26th term the sequence gets into a cycle of 46.

Crossrefs

Cf. A036059, A007890.

Programs

Python

def aupton(nn):
  alst = [2, 2]
  for n in range(2, nn+1):
    prev2, anstr = sorted(str(alst[-2]) + str(alst[-1])), ""
    for d in sorted(set(prev2), reverse=True):
      anstr += str(prev2.count(d)) + d
    alst.append(int(anstr))
  return alst
print(aupton(20)) # Michael S. Branicky, Feb 02 2021