A110725 - OEIS

A110725

[{n concatenate R(n)} + {R(n) concatenate n}]/11, where R(n) = digit reversal of n.

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 101, 202, 303, 404, 505, 606, 707, 808, 909, 1010, 202, 303, 404, 505, 606, 707, 808, 909, 1010, 1111, 303, 404, 505, 606, 707, 808, 909, 1010, 1111, 1212, 404, 505, 606, 707, 808, 909, 1010, 1111, 1212, 1313, 505

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OFFSET

0,2

LINKS

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

FORMULA

A110724(n)/11.

When n has one digit, a(n)=2*n. When n has two digits, a(n)= 101*x + 101*y. (Here x,y are the digits of n.). - _Keith Schneider_, Jun 16 2007

EXAMPLE

a(12) = {1221 + 2112}/11 = 303. a(68) = {6886 + 8668}/11 = 1414.

MATHEMATICA

Table[(FromDigits[Join[IntegerDigits[n], Reverse[IntegerDigits[n]]]] + FromDigits[Join[Reverse[IntegerDigits[n]], IntegerDigits[n]]])/11, {n, 0, 50}] (* Stefan Steinerberger, Jun 17 2007 *)

cr[n_]:=Module[{r=IntegerReverse[n]}, (n*10^IntegerLength[n]+r+ r*10^ IntegerLength[ n]+n)/11]; Array[cr, 60, 0] (* Harvey P. Dale, Nov 10 2017 *)

CROSSREFS

Cf. A110722, A110723, A110724.

Sequence in context: A119766 A030143 A343335 * A100800 A169921 A169919

Adjacent sequences: A110722 A110723 A110724 * A110726 A110727 A110728

KEYWORD

base,nonn,less,easy

AUTHOR

Amarnath Murthy, Aug 09 2005

EXTENSIONS

Corrected and extended by Stefan Steinerberger, Jun 17 2007

STATUS

approved