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A339444 Number of partitions of n into triangular numbers such that the number of parts is a triangular number. 1

%I #5 Dec 05 2020 14:43:04

%S 1,1,0,2,0,1,2,1,2,1,4,1,4,2,3,6,4,6,4,7,6,10,8,8,11,11,14,11,17,14,

%T 22,19,18,24,24,30,27,33,31,38,42,39,47,49,54,59,60,63,72,77,79,85,95,

%U 94,104,116,115,131,133,142,154,165,168,180,200,203

%N Number of partitions of n into triangular numbers such that the number of parts is a triangular number.

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

%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>

%H <a href="/index/Pol#polygonal_numbers">Index to sequences related to polygonal numbers</a>

%e [1]

%e [1 1] [1]

%e [1 1 1] [1 1] [1]

%e a(10) = 4 because we have [1 1 1 1], [1 3 3], [3 6] and [10].

%Y Cf. A000217, A007294, A085755, A178927, A280352, A339445.

%K nonn

%O 0,4

%A _Ilya Gutkovskiy_, Dec 05 2020

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Last modified July 13 06:34 EDT 2024. Contains 374267 sequences. (Running on oeis4.)