A274464 Subsequence of the automorphic numbers (A003226) with initial term 6 and such that a(n+1) ends with the digits of a(n).

6, 76, 139376, 114087109376, 792415373740081787109376, 88398678125844615295893380022607743740081787109376, 3724919229963099270422168663257939520419136188999442576576769103890995893380022607743740081787109376

Offset: 1

Author

Colin Barker, Jun 24 2016

Keywords

• nonn
• base

Comments

An automorphic number is a number whose square ends in the same digits as the number itself.

The next term has 200 digits.

Links

• Colin Barker, Table of n, a(n) for n = 1..10
• Wikipedia, Automorphic number

Crossrefs

Cf. A003226, A274463.

Programs

PARI

seq(m, maxn) = L=List(); for(j=1, maxn, listput(L, m); m=(3*m^2-2*m^3)%10 ^ (2*sizedigit(m))); Vec(L)
seq(6, 8)