cp's OEIS Frontend

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.

A199743 Rounded near-integers (exp(Pi*sqrt(h)) - 744)^(1/3) where h is A003173(n+3) (Heegner numbers of the form 4p-1 where p is prime).

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%I A199743 #43 Oct 04 2021 13:52:55
%S A199743 15,32,96,960,5280,640320
%N A199743 Rounded near-integers (exp(Pi*sqrt(h)) - 744)^(1/3) where h is A003173(n+3) (Heegner numbers of the form 4p-1 where p is prime).
%F A199743 a(n) = (-j((1 + i*sqrt(h(n))) / 2))^(1/3) where h(n) = A003173(n+3) and j(x) is the j-invariant. - _Andrey Zabolotskiy_, Sep 30 2021
%e A199743 a(1) =     15 because     15^3 + 744 ~ exp(Pi*sqrt(7)).
%e A199743 a(2) =     32 because     32^3 + 744 ~ exp(Pi*sqrt(11)).
%e A199743 a(3) =     96 because     96^3 + 744 ~ exp(Pi*sqrt(19)).
%e A199743 a(4) =    960 because    960^3 + 744 ~ exp(Pi*sqrt(43)).
%e A199743 a(5) =   5280 because   5280^3 + 744 ~ exp(Pi*sqrt(67)).
%e A199743 a(6) = 640320 because 640320^3 + 744 ~ exp(Pi*sqrt(163)).
%Y A199743 Cf. A003173, A305500.
%Y A199743 A267195 is a supersequence (negated).
%K A199743 nonn,fini,full
%O A199743 1,1
%A A199743 _Artur Jasinski_, Nov 09 2011