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Number of compositions (ordered partitions) of n into distinct octagonal numbers.
2

%I #4 Feb 04 2020 21:43:54

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

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

%U 0,6,24,0,0,2,6,0,0,0,0,0,0,0,0,0,0,0,2,6

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

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

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

%e a(30) = 6 because we have [21, 8, 1], [21, 1, 8], [8, 21, 1], [8, 1, 21], [1, 21, 8] and [1, 8, 21].

%Y Cf. A000567, A279041, A279281, A322800, A331843, A331844, A332007, A332014, A332015.

%K nonn

%O 0,10

%A _Ilya Gutkovskiy_, Feb 04 2020