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Number of compositions (ordered partitions) of n into distinct heptagonal numbers.
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%I #5 Feb 04 2020 21:43:48

%S 1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,6,0,0,0,0,0,0,0,

%T 1,2,0,0,0,0,0,2,6,0,0,0,0,0,0,0,0,0,2,6,0,1,2,0,0,6,24,0,2,6,0,0,0,0,

%U 0,0,0,0,0,2,6,0,0,0,0,0,6,25,2

%N Number of compositions (ordered partitions) of n into distinct heptagonal numbers.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HeptagonalNumber.html">Heptagonal Number</a>

%H <a href="/index/Com#comp">Index entries for sequences related to compositions</a>

%e a(26) = 6 because we have [18, 7, 1], [18, 1, 7], [7, 18, 1], [7, 1, 18], [1, 18, 7] and [1, 7, 18].

%Y Cf. A000566, A279012, A279280, A322799, A331843, A331844, A332007, A332014, A332016.

%K nonn

%O 0,9

%A _Ilya Gutkovskiy_, Feb 04 2020