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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.

A299705 Number of ways to dissect an equilateral triangle into n non-overlapping equilateral triangles counting isomorphisms only once.

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%I A299705 #23 Feb 23 2018 11:25:21
%S A299705 1,0,0,1,0,1,2,3,9,23,62,188,574,1826,5953,19664,66049,224700,771859,
%T A299705 2674753
%N A299705 Number of ways to dissect an equilateral triangle into n non-overlapping equilateral triangles counting isomorphisms only once.
%C A299705 Data from Figure 7 of Drapal and Hamalainen, see link.
%H A299705 Ales Drapal, Carlo Hamalainen, <a href="http://arxiv.org/abs/0910.5199">An enumeration of equilateral triangle dissections</a>, arXiv:0910.5199 [math.CO], 2009-2010.
%H A299705 Hugo Pfoertner, Rainer Rosenthal, <a href="/A299705/a299705.txt">Illustration of the 23 dissections into 10 triangles.</a>
%e A299705 a(9)=9:
%e A299705         *                 *                              *
%e A299705        / \               / \                            / \
%e A299705       *---*             +   +                          +   +
%e A299705      / \ / \           /     \                        /     \
%e A299705     *---*---*         +       +                      +       +
%e A299705    / \ / \ / \       /         \                    /         \
%e A299705   *---*---*---*     +           +                  +           +
%e A299705                    /             \                /             \
%e A299705                   *---+---*---+---*              *---+---+---*---*
%e A299705                  / \     / \     / \            / \         / \ / \
%e A299705                 +   +   +   +   +   +          +   +       *---*---*
%e A299705                /     \ /     \ /     \        /     \     / \     / \
%e A299705               +       *---*---*       +      +       +   +   +   +   +
%e A299705              /         \ / \ /         \    /         \ /     \ /     \
%e A299705             *---+---+---*---*---+---+---*  *---+---+---*---+---*---+---*
%e A299705 .
%e A299705               *         *---+---+---*---+---+---*         *
%e A299705              / \         \         / \         /         / \
%e A299705             +   +         +       +   +       +         +   +
%e A299705            /     \         \     /     \     /         /     \
%e A299705           +       +         +   *---*---*   +         +       +
%e A299705          /         \         \ / \ / \ / \ /         /         \
%e A299705         +           +         *---*---*---*         +           +
%e A299705        /             \         \         /         /             \
%e A299705       *---+---*---+---*         +       +         *---+---*---*---*
%e A299705      / \     / \     / \         \     /         / \     / \ / \ / \
%e A299705     +   +   +   +   *---*         +   +         +   +   +   *---*   +
%e A299705    /     \ /     \ / \ / \         \ /         /     \ /     \ /     \
%e A299705   *---+---*---+---*---*---*         *         *---+---*---+---*---+---*
%e A299705 .
%e A299705               *         *---+---*---*---*---+---*         *
%e A299705              / \         \     / \ / \ / \     /         / \
%e A299705             +   +         +   +   *---*   +   +         +   +
%e A299705            /     \         \ /     \ /     \ /         /     \
%e A299705           *---*---*         *---+---*---+---*         +       +
%e A299705          / \ / \ / \         \             /         /         \
%e A299705         *---*---*---*         +           +         *---+---+---*
%e A299705        / \         / \         \         /         / \         / \
%e A299705       +   +       +   +         +       +         +   +       +   +
%e A299705      /     \     /     \         \     /         /     \     /     \
%e A299705     +       +   +       +         +   +         *---*---*   +       +
%e A299705    /         \ /         \         \ /         / \ / \ / \ /         \
%e A299705   *---+---+---*---+---+---*         *         *---*---*---*---+---+---*
%Y A299705 Cf. A167123, A290697, A290821.
%K A299705 nonn,hard,more
%O A299705 1,7
%A A299705 _Peter Munn_ and _Hugo Pfoertner_, Feb 17 2018
%E A299705 Offset changed, also name to accommodate, following suggestion by _M. F. Hasler_, Feb 23 2018