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%I #32 Mar 29 2022 18:33:30
%S 1,10,22,30,36,44
%N Solution to Forest of Numbers (Bosque de Números) puzzle if we start with the numbers 1 through n (see Comments).
%C Start with an infinite square grid. Each cell has eight neighbors. Place the numbers 1, 2, ..., n anywhere. Now place the numbers n+1, n+2, ..., m in order, subject to the rule that when you place k, the sum of its neighbors must equal k. Then a(n) is the maximum m that can be achieved.
%C This is similar to the Stepping Stones problem discussed in A337663, but predates it by more than 20 years.
%C As can be seen in the El Acertijo (The Riddle) links and in _Rodolfo Kurchan_'s webpage, there are at least six similar problems, for example when the numbers are restricted to an n X n square board. All of these are worthy of inclusion in the OEIS once enough terms are known.
%H El Acertijo, <a href="https://el-acertijo.blogspot.com/2008/06/el-acertijo-05-pagina-08.html">Number 5, Page 8</a>, April 1993.
%H El Acertijo, <a href="https://el-acertijo.blogspot.com/2008/06/el-acertijo-05-pagina-09.html">Number 5, Page 9</a>, April 1993.
%H El Acertijo, <a href="https://el-acertijo.blogspot.com/2008/06/el-acertijo-05-pagina-18.html">Number 5, Page 18</a>, April 1993.
%H El Acertijo, <a href="https://el-acertijo.blogspot.com/2008/07/el-acertijo-07-pagina-15.html">Number 7, Page 15</a>, August/September 1993.
%H Rudolfo Kurchan, <a href="https://www.puzzlefun.online/problems">Puzzle Fun</a>
%H Giorgio Vecchi, <a href="/A350627/a350627.jpg">Solution for a(5) = 36</a>
%H Giorgio Vecchi, <a href="/A350627/a350627_1.jpg">Solution for a(6) = 44</a>
%Y Cf. A337663 (Stepping Stones problem).
%K nonn,more
%O 1,2
%A _N. J. A. Sloane_, Feb 05 2022
%E a(5)-a(6) from _Rodolfo Kurchan_, Mar 29 2022
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