A036110 A summarize Fibonacci sequence starting with a(0)=2 and a(1)=2: 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

0,1

Comments

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

Links

Table of n, a(n) for n=0..20.

Prog

(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

Crossrefs

Cf. A036059, A007890.

Sequence in context: A353101 A079032 A190632 * A143807 A118454 A118326

Adjacent sequences: A036107 A036108 A036109 * A036111 A036112 A036113

Keyword

base,easy,nonn

Author

Floor van Lamoen

Status

approved