login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A113603 Numbers obtained as the sum mod 10 of corresponding digits of n and its digit reversal. 2
2, 4, 6, 8, 0, 2, 4, 6, 8, 11, 22, 33, 44, 55, 66, 77, 88, 99, 0, 22, 33, 44, 55, 66, 77, 88, 99, 0, 11, 33, 44, 55, 66, 77, 88, 99, 0, 11, 22, 44, 55, 66, 77, 88, 99, 0, 11, 22, 33, 55, 66, 77, 88, 99, 0, 11, 22, 33, 44, 66, 77, 88, 99, 0, 11, 22, 33, 44, 55, 77, 88, 99, 0, 11, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Most of the terms are palindromes except for the case when the most significant digit sum == 0 mod 10.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

EXAMPLE

a(2358) = 0880. Digit reversal of 2358 is 8532 and the corresponding digit sums mod 10 are 8+2 == 0, 5+3 == 8, 5+3 == 8, 8+2 == 0.

MAPLE

A113603 := proc(n)

        dgs := convert(n, base, 10) ;

        dmod10 := [] ;

        for i from 1 to nops(dgs) do

                dmod10 := [op(dmod10), (op(i, dgs)+op(-i, dgs)) mod 10 ] ;

        end do;

        add( op(i, dmod10)*10^(i-1), i=1..nops(dmod10)) ;

end proc:

seq(A113603(n), n=1..90) ; # R. J. Mathar, Oct 01 2011

# second Maple program:

a:= n-> (s-> parse(cat(seq(parse(s[i])+parse(s[-i])

             mod 10, i=1..length(s)))))(""||n):

seq(a(n), n=1..100);  # Alois P. Heinz, Aug 09 2015

CROSSREFS

Cf. A113602.

Sequence in context: A317647 A243590 A169933 * A004520 A169918 A169916

Adjacent sequences:  A113600 A113601 A113602 * A113604 A113605 A113606

KEYWORD

base,easy,less,nonn

AUTHOR

Amarnath Murthy, Nov 09 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 19 17:16 EDT 2019. Contains 324222 sequences. (Running on oeis4.)