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

1,1

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

Prog

(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)

Crossrefs

Cf. A003226, A274463.

Sequence in context: A009763 A340886 A305999 * A028979 A082629 A278365

Adjacent sequences: A274461 A274462 A274463 * A274465 A274466 A274467

Keyword

nonn,base

Author

Colin Barker, Jun 24 2016

Status

approved