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A248753
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Palindromes p = A002113(n) whose index n is a substring of p.
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1
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11, 1111, 12221, 23332, 34443, 45554, 56665, 67776, 78887, 89998, 101101, 111111, 121121, 131131, 141141, 151151, 161161, 171171, 181181, 191191, 1020201, 1121211, 1222221, 1323231, 1424241, 1525251, 1626261, 1727271, 1828281, 1929291, 2030302, 2131312
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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11 is a term because the eleventh palindrome is 11.
12221 is in the sequence because the 222nd palindrome is 12221.
101101 is a member because it is the 1101st palindrome.
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MATHEMATICA
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(* first load 'nthPalindrome' from A002113 and then *) nPal[n_] := nthPalindrome[n - 1]; fQ[n_] := StringPosition[ ToString[ nPal[ n]], ToString[ n]] != {}; k = 1; lst = {}; While[k < 3001, If[fQ[k], AppendTo[lst, nPal[ k]]]; k++]; lst
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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