A033934 a(n) = (10^n+1)^2.

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

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 *)

Crossrefs

Cf. A002779 (palindromic squares), A000290 (squares), A002113 (palindromes).

Cf. A062397, A066138, A011557.

Sequence in context: A241366 A358570 A263612 * A362848 A144508 A169972

Adjacent sequences: A033931 A033932 A033933 * A033935 A033936 A033937

Keyword

nonn,base,easy

Author

Jeff Burch

Extensions

Better description from Henry Bottomley, Dec 07 2001

More terms from Harvey P. Dale, Feb 16 2016

Status

approved