A274463 Subsequence of the automorphic numbers (A003226) with initial term 5 and such that a(n+1) ends with the digits of a(n).

5, 25, 625, 12890625, 6259918212890625, 4106619977392256259918212890625, 80863811000557423423230896109004106619977392256259918212890625

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 126 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(5, 8)

Crossrefs

Cf. A003226, A274464.

Sequence in context: A215118 A218150 A176594 * A279835 A169652 A359232

Adjacent sequences: A274460 A274461 A274462 * A274464 A274465 A274466

Keyword

nonn,base

Author

Colin Barker, Jun 24 2016

Status

approved