A332005 - OEIS

%I #5 Feb 04 2020 14:56:24

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

%T 24,2,6,0,0,0,0,2,6,0,0,6,25,2,0,0,4,12,0,0,6,24,2,6,0,0,12,48,0,0,25,

%U 124,6,0,2,12,24,0,0,0,2,12,24,2,12,48,120,6,24,2,6,1,2,12

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

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

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

%e a(15) = 6 because we have [10, 4, 1], [10, 1, 4], [4, 10, 1], [4, 1, 10], [1, 10, 4] and [1, 4, 10].

%Y Cf. A005448, A023361, A280950, A281081, A282502, A331843, A331919, A332006.

%K nonn

%O 0,6

%A _Ilya Gutkovskiy_, Feb 04 2020