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A262188 Table read by rows: row n contains all distinct palindromes contained as substrings in decimal representation of n. 6
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 1, 11, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 0, 2, 1, 2, 2, 22, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 0, 3, 1, 3, 2, 3, 3, 33, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 9, 0, 4, 1, 4, 2, 4, 3, 4, 4, 44, 4, 5, 4, 6, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Length of row n = A262190(n);

T(n,0) = A054054(n);

T(n,A262190(n)-1) = A047813(n).

LINKS

Reinhard Zumkeller, Rows n = 0..10000 of triangle, flattened

Index entries for sequences related to palindromes

EXAMPLE

.     n |  T(n,*)           n |  T(n,*)              n |  T(n,*)

.  -----+-----------    ------+-------------    -------+--------------

.   100 |  0,1           1000 |  0,1             10000 |  0,1

.   101 |  0,1,101       1001 |  0,1,1001        10001 |  0,1,10001

.   102 |  0,1,2         1002 |  0,1,2           10002 |  0,1,2

.   103 |  0,1,3         1003 |  0,1,3           10003 |  0,1,3

.   104 |  0,1,4         1004 |  0,1,4           10004 |  0,1,4

.   105 |  0,1,5         1005 |  0,1,5           10005 |  0,1,5

.   106 |  0,1,6         1006 |  0,1,6           10006 |  0,1,6

.   107 |  0,1,7         1007 |  0,1,7           10007 |  0,1,7

.   108 |  0,1,8         1008 |  0,1,8           10008 |  0,1,8

.   109 |  0,1,9         1009 |  0,1,9           10009 |  0,1,9

.   110 |  0,1,11        1010 |  0,1,101         10010 |  0,1,1001

.   111 |  1,11,111      1011 |  0,1,11,101      10011 |  0,1,11,1001

.   112 |  1,2,11        1012 |  0,1,2,101       10012 |  0,1,2,1001

.   113 |  1,3,11        1013 |  0,1,3,101       10013 |  0,1,3,1001

.   114 |  1,4,11        1014 |  0,1,4,101       10014 |  0,1,4,1001

.   115 |  1,5,11        1015 |  0,1,5,101       10015 |  0,1,5,1001

.   116 |  1,6,11        1016 |  0,1,6,101       10016 |  0,1,6,1001

.   117 |  1,7,11        1017 |  0,1,7,101       10017 |  0,1,7,1001

.   118 |  1,8,11        1018 |  0,1,8,101       10018 |  0,1,8,1001

.   119 |  1,9,11        1019 |  0,1,9,101       10019 |  0,1,9,1001

.   120 |  0,1,2         1020 |  0,1,2           10020 |  0,1,2

.   121 |  1,2,121       1021 |  0,1,2           10021 |  0,1,2

.   122 |  1,2,22        1022 |  0,1,2,22        10022 |  0,1,2,22

.   123 |  1,2,3         1023 |  0,1,2,3         10023 |  0,1,2,3

.   124 |  1,2,4         1024 |  0,1,2,4         10024 |  0,1,2,4

.   125 |  1,2,5         1025 |  0,1,2,5         10025 |  0,1,2,5  .

PROG

(Haskell)

import Data.List (inits, tails, nub, sort)

a262188 n k = a262188_tabf !! n !! k

a262188_row n = a262188_tabf !! n

a262188_tabf = map (sort . nub . map (foldr (\d v -> 10 * v + d) 0) .

   filter (\xs -> length xs == 1 || last xs > 0 && reverse xs == xs) .

          concatMap (tail . inits) . tails) a031298_tabf

(PARI) A262188_row(n, b=10)=Set(concat(vector(logint(n+!n, b)+1, m, m=n\=b^(m>1); select(is_A002113, vector(logint(m+!m, b)+1, k, m%b^k))))) \\ M. F. Hasler, Jun 19 2018

CROSSREFS

Cf. A262190 (row lengths), A054054 (left edge), A047813 (right edge), A136522, A002113.

Cf. A031298, A218978.

Sequence in context: A004428 A004429 A004426 * A004430 A285094 A134778

Adjacent sequences:  A262185 A262186 A262187 * A262189 A262190 A262191

KEYWORD

nonn,tabf,base,look

AUTHOR

Reinhard Zumkeller, Sep 14 2015

STATUS

approved

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Last modified January 25 03:49 EST 2020. Contains 331241 sequences. (Running on oeis4.)