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Number of compositions (ordered partitions) of n into distinct centered square numbers.
1

%I #5 Feb 04 2020 14:56:33

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

%T 0,0,0,0,2,6,0,1,2,6,24,0,2,6,0,0,0,0,0,0,2,6,0,0,0,6,24,1,2,0,0,0,4,

%U 12,0,0,0,6,24,0,2,6,0,0,0,12,48,0,0,0,24,121,4,6

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

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

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

%e a(19) = 6 because we have [13, 5, 1], [13, 1, 5], [5, 13, 1], [5, 1, 13], [1, 13, 5] and [1, 5, 13].

%Y Cf. A001844, A006456, A280951, A281082, A282504, A331844, A331984, A332005.

%K nonn

%O 0,7

%A _Ilya Gutkovskiy_, Feb 04 2020