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A258264 Numbers having only one representation as a sum of the minimal number of triangular numbers, A000217. 3

%I #14 Jun 09 2015 12:35:03

%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,18,20,21,22,24,25,27,28,29,30,34,

%T 36,37,38,39,43,45,48,49,50,53,55,57,58,60,61,64,65,66,67,69,70,73,78,

%U 79,83,84,87,88,90,91,92,93,97,99,100,101,102,105,108,110

%N Numbers having only one representation as a sum of the minimal number of triangular numbers, A000217.

%C A258257(a(n)) = 1.

%C Complement of A258265.

%H Giovanni Resta, <a href="/A258264/b258264.txt">Table of n, a(n) for n = 1..10000</a>

%t t[n_] := n (n + 1)/2; ok[n_] := Block[{k = 1, t, tt = t /@ Range[ Sqrt[2*n]]}, While[{} == (r = IntegerPartitions[n, {k}, tt]), k++]; Length@ r == 1]; Select[Range[100], ok]

%Y Cf. A258257, A258265.

%K nonn

%O 1,2

%A _Martin Renner_, May 25 2015

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Last modified August 10 05:56 EDT 2024. Contains 375044 sequences. (Running on oeis4.)