A110722 {n concatenate R(n)}*{ R(n) concatenate n}, where R(n) = digit reversal of n.

0, 121, 484, 1089, 1936, 3025, 4356, 5929, 7744, 9801, 110110, 1234321, 2578752, 4143403, 5928274, 7933365, 10158676, 12604207, 15269958, 18155929, 440440, 2578752, 4937284, 7516036, 10315008, 13334200, 16573612, 20033244, 23713096

Offset

0,2

Comments

a(n) == 0 (mod 11)

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Formula

When n has one digit a(n)=(11n)^2. When n has two digits a(n)= 110110*x^2 + 1014101*x*y + 110110*y^2. (Here x,y are the digits of n.). - _Keith Schneider_, Jun 16 2007

Example

a(13) = 1331*3113 = 4143403.

Mathematica

Table[FromDigits[Join[IntegerDigits[n], Reverse[IntegerDigits[n]]]]* FromDigits[Join[Reverse[IntegerDigits[n]], IntegerDigits[n]]], {n, 0, 50}] (* G. C. Greubel, sep 06 2017 *)

Crossrefs

Sequence in context: A052082 A062555 A017390 * A236181 A077432 A017654

Adjacent sequences: A110719 A110720 A110721 * A110723 A110724 A110725

Keyword

base,easy,nonn

Author

Amarnath Murthy, Aug 09 2005

Extensions

More terms from Maire B. O'Neill (mbo5001(AT)psu.edu), Sep 18 2005

Corrected by James Greene (jmg482(AT)psu.edu), Apr 07 2006

Status

approved