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A096768 Numbers n of the form k + reverse(k) for two or more values of k. 2
22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 202, 222, 242, 262, 282, 302, 303, 322, 323, 342, 343, 362, 363, 382, 383, 403, 404, 423, 424, 443, 444, 463, 464, 483, 484, 504, 505, 524, 525, 544, 545, 564, 565, 584, 585, 605, 606 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..2106

Index entries for sequences related to Reverse and Add!

EXAMPLE

22 belongs to the sequence since 11 + 11 = 22 and 20 + 2 = 22 (k = {11, 20}); 33 belongs to the sequence since 12 + 21 = 33, 21 + 12 = 33 and 30 + 3 = 33 (k = {12, 21, 30}).

MAPLE

reverse:= proc (d) local n, m; m:=0; n:=d; while n>0 do m:=m*10+(n mod 10); n:=(n-(n mod 10))/10; od; m; end; P:={}; P2:={}; for i to 5000 do; if i>0 then; r:=i+reverse(i); rat:={r}; if P intersect rat = {} then P:=P union rat else P2:=P2 union rat fi; fi; od; P2;

# Maple program from N. J. A. Sloane, Mar 07 2016. Assumes digrev (from the "transforms" file) is available:

M:=1000; b := Array(1..M, 0);

for n from 1 to M do

t1:=n+digrev(n);

if t1 <= M then b[t1]:=b[t1]+1; fi;

od:

ans:=[];

for n from 1 to M do

if b[n]>=2 then ans:=[op(ans), n]; fi; od:

ans;

MATHEMATICA

M = 10^3; digrev[n_] := IntegerDigits[n] // Reverse // FromDigits; Clear[b]; b[_] = 0; For[n = 1, n <= M, n++, t1 = n + digrev[n]; If[t1 <= M, b[t1] = b[t1] + 1]]; A096768 = Reap[For[n = 1, n <= M, n++, If[b[n] >= 2, Sow[n]]]][[2, 1]] (* Jean-Fran├žois Alcover, Oct 01 2016, after N. J. A. Sloane's Maple code *)

CROSSREFS

Cf. A067030, A072040 (exactly two values of k).

Sequence in context: A250180 A252078 A157496 * A157529 A165932 A190588

Adjacent sequences:  A096765 A096766 A096767 * A096769 A096770 A096771

KEYWORD

base,easy,nonn

AUTHOR

Chuck Seggelin (seqfan(AT)plastereddragon.com), Jul 08 2004

STATUS

approved

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)