This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A109326 #39 Oct 05 2021 05:06:31 %S A109326 1,10,21,1022,101023,1000101024 %N A109326 Smallest positive number that requires n steps to be represented as a sum of palindromes using the greedy algorithm. %C A109326 Index of first occurrence of n in A088601. %C A109326 Presumably this sequence is unbounded. - _N. J. A. Sloane_, Aug 28 2015 %C A109326 The greedy algorithm means iteration of A261424 until a palindrome is reached. For n = 3, 4, ... we have a(n+1) = 10^L(n) + a(n) + 1 with L(n) = 2^(n-2) + 1 = length(a(n))*2 - 3 for n > 3. We have a(7) <= 10^17 + 1000101025, a(8) <= 10^33 + 10^17 + 1000101026, a(9) <= 10^65 + 10^33 + 10^17 + 1000101027, a(10) <= 10^129 + 10^65 + 10^33 + 10^17 + 1000101028, etc, with conjectured equality. - _M. F. Hasler_, Sep 08 2015, edited Sep 09 2018 %H A109326 M. F. Hasler, <a href="/wiki/User:M._F._Hasler/Work_in_progress/Sum_of_palindromes">Sum of palindromes</a>, OEIS wiki, Sept. 2015. %F A109326 a(n) = Sum_{0 <= k <= n-3} 10^(2^k+1) + n - 82, for n > 2 (conjectured). - _M. F. Hasler_, Sep 08 2015 %o A109326 (Python) # uses functions in A088601 %o A109326 def afind(limit): %o A109326 record = 0 %o A109326 for i in range(1, limit+1): %o A109326 steps = A088601(i) %o A109326 if steps > record: print(i, end=", "); record = steps %o A109326 afind(10**6) # _Michael S. Branicky_, Jul 12 2021 %Y A109326 Cf. A088601, A002113, A261422, A261423. %K A109326 nonn,base,more %O A109326 1,2 %A A109326 _David Wasserman_, Aug 11 2005 %E A109326 Edited by _N. J. A. Sloane_, Aug 28 2015