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A215069 Natural numbers that when squared can be expressed as sums of a positive square number and a positive triangular number 1

%I #10 Dec 02 2022 07:06:30

%S 2,4,5,7,8,9,10,11,13,14,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,

%T 34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,

%U 60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,79,80,82,83,84,85

%N Natural numbers that when squared can be expressed as sums of a positive square number and a positive triangular number

%C There are infinitely many terms (see A214937 for a proof)

%H Ivan N. Ianakiev, <a href="/A215069/b215069.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = sqrt(A214937(n))

%e 2 and 7 are in the sequence because 2^2=1^2+2*3/2 and 7^2=2^2+9*10/2

%Y Cf. A000217, A000290, A214937

%K nonn

%O 1,1

%A _Ivan N. Ianakiev_, Aug 02 2012

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)