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A232771 Values of x satisfying x^2 = floor(y^2/3 + y). 1

%I #10 Dec 30 2014 13:13:03

%S 0,1,3,6,17,43,84,237,599,1170,3301,8343,16296,45977,116203,226974,

%T 640377,1618499,3161340,8919301,22542783,44031786,124229837,313980463,

%U 613283664,1730298417,4373183699,8541939510,24099948001

%N Values of x satisfying x^2 = floor(y^2/3 + y).

%C Corresponding values of y are given by A232765.

%C a(n) are also the values of x satisfying x^2 = floor(y^2/3 - y).

%C Let b(n) equal the second differences of a(n), where b(1) = 1, then b(3n-2) = b(3n-1) = A028230(n) and b(3n) = A067900(n) for n>0.

%F Empirical g.f.: x^2*(x^4+3*x^3+6*x^2+3*x+1) / (x^6-14*x^3+1). - _Colin Barker_, Dec 30 2014

%Y Cf. A232765, A028230, A067900.

%K nonn

%O 1,3

%A _Richard R. Forberg_, Nov 30 2013

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Last modified May 9 15:13 EDT 2024. Contains 372352 sequences. (Running on oeis4.)