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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.

A373616 Positive integers that cannot be written as a sum of a practical number and a 13-gonal number.

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%I A373616 #9 Jun 12 2024 02:30:14
%S A373616 10,11,22,23,26,27,34,35,39,46,47,50,51,58,59,62,63,70,75,83,87,95,99,
%T A373616 107,111,115,122,137,138,146,149,152,159,165,167,184,185,188,194,206,
%U A373616 218,222,245,248,263,282,284,287,314,329,345,354,357,359,362,383,386
%N A373616 Positive integers that cannot be written as a sum of a practical number and a 13-gonal number.
%C A373616 Somu and Tran (2024) conjectured that there are finitely many such integers. It was also conjectured that 1612172 is the largest such integer. This conjecture was checked up to 10^8.
%H A373616 Duc Van Khanh Tran, <a href="/A373616/b373616.txt">Table of n, a(n) for n = 1..609</a>
%H A373616 Sai Teja Somu and Duc Van Khanh Tran, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Somu/somu5.html">On sums of practical numbers and polygonal numbers</a>, Journal of Integer Sequences, 27(5), 2024.
%e A373616 11 is in the sequence as 13-gonal numbers below 11 are 0, 1 and both 11-0 and 11-1 are not practical. - _David A. Corneth_, Jun 11 2024
%Y A373616 Cf. A005153, A051865.
%K A373616 nonn,hard
%O A373616 1,1
%A A373616 _Duc Van Khanh Tran_, Jun 11 2024