A271986 G_10(n), where G is the Goodstein function defined in A266201.

0, 299, 5643, 1357259, 273624711, 17832200896811, 26748301350411, 44580503598539, 62412976762503, 106993205379371, 106993205384715, 106993206736331, 106993479003783

Offset

3,2

Comments

a(17) = 1.926...*10^6103. - Pontus von Brömssen, Sep 25 2020

Links

Pontus von Brömssen, Table of n, a(n) for n = 3..16

Wikipedia, Goodstein's theorem

Prog

(Python)
from sympy.ntheory.factor_ import digits
def bump(n, b):
  s=digits(n, b)[1:]
  l=len(s)
  return sum(s[i]*(b+1)**bump(l-i-1, b) for i in range(l) if s[i])
def A271986(n):
  if n==3: return 0
  for i in range(2, 12):
    n=bump(n, i)-1
  return n # Pontus von Brömssen, Sep 25 2020

Crossrefs

Cf. A056004: G_1(n); A057650: G_2(n); A059934: G_3(n); A059935: G_4(n); A059936: G_5(n); A271977: G_6(n); A271978: G_7(n); A271979: G_8(n); A271985: G_9(n); this sequence: G_10(n); A266201: G_n(n).

Sequence in context: A341189 A105990 A160484 * A091028 A181646 A262137

Adjacent sequences: A271983 A271984 A271985 * A271987 A271988 A271989

Keyword

nonn

Author

Natan Arie Consigli, May 01 2016

Extensions

Incorrect program and terms removed by Pontus von Brömssen, Sep 25 2020

Status

approved