A033934 - OEIS

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A033934

a(n) = (10^n+1)^2.

4, 121, 10201, 1002001, 100020001, 10000200001, 1000002000001, 100000020000001, 10000000200000001, 1000000002000000001, 100000000020000000001, 10000000000200000000001, 1000000000002000000000001, 100000000000020000000000001, 10000000000000200000000000001

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OFFSET

0,1

COMMENTS

The members of this sequence are both perfect squares and palindromes. Therefore A002779 is an infinite sequence. [Ant King, Jun 26 2011]

LINKS

Table of n, a(n) for n=0..14.

Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000).

FORMULA

a(n) = A062397(n)^2 = A066138(n) + A011557(n).

MATHEMATICA

(10^Range[0, 20]+1)^2 (* or *) LinearRecurrence[{111, -1110, 1000}, {4, 121, 10201}, 20] (* Harvey P. Dale, Feb 16 2016 *)