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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A185979 Numbers which are the sum of two positive triangular numbers in more than one way.

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%I A185979 #11 May 09 2021 10:57:29
%S A185979 16,31,42,46,51,56,72,76,81,94,106,111,121,123,126,133,141,146,156,
%T A185979 157,172,174,181,186,191,196,198,211,216,225,226,231,237,241,246,256,
%U A185979 259,268,276,281,286,289,291,297,301,306,310,315,321,326,328,331,336,342,346,354,361,366,367
%N A185979 Numbers which are the sum of two positive triangular numbers in more than one way.
%C A185979 This is a subsequence of A020756 (sums of two triangular numbers).
%C A185979 This is also a subsequence of A051533 (sums of two positive triangular numbers). This is not a subsequence of A185978 (nontriangular numbers as sums of (positive) triangular numbers). E.g., a(32)=231 is missing there because 231=A000217(21). See A185980.
%C A185979 For the numbers which are sums of two positive triangular numbers in exactly two ways see A064816.
%C A185979 The first number which can be written in exactly three ways as sums of positive triangular numbers is 81.
%C A185979 a(n) gives the positions where A052344 entries are >= 2: A052344(a(n)) >= 2.
%H A185979 T. D. Noe, <a href="/A185979/b185979.txt">Table of n, a(n) for n = 1..1000</a>
%e A185979 16 = 15 + 1 = 10 + 6.
%e A185979 81 = 45 + 36 = 66 + 15 = 78 + 3.
%e A185979 231= 210 + 21 = 153 + 78
%Y A185979 Cf. A000217, A020756, A051533, A052344, A064816, A185980.
%K A185979 nonn,easy
%O A185979 1,1
%A A185979 _Wolfdieter Lang_, Feb 15 2011