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.

A370555 a(n) is the numerator of f(n)*conj(f(n)), where f(n) = Product_{k=1..n} (1/k + i), i is the imaginary unit, and conj(z) is the complex conjugate of z.

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%I A370555 #8 Feb 23 2024 07:10:07
%S A370555 2,5,25,425,221,8177,204425,13287625,544792625,2200962205,
%T A370555 134258694505,19467510703225,9791351537125,1928896252813625,
%U A370555 8718611062717585,2240683043118419345,1124218135820660225,365370894141714573125,66132131839650337735625,1060759394707991417279425
%N A370555 a(n) is the numerator of f(n)*conj(f(n)), where f(n) = Product_{k=1..n} (1/k + i), i is the imaginary unit, and conj(z) is the complex conjugate of z.
%C A370555 f(n) may also be chosen as Product_{k=1..n} (1 + i/k) without changing the result.
%o A370555 (PARI) a370555(n) = my (f(n)=prod(k=1, n, 1/k+I)); numerator(f(n)*conj(f(n)))
%Y A370555 A370556 are the corresponding denominators.
%Y A370555 Cf. A370547, A370548, A370549, A370550, A370551, A370552, A370553, A370554.
%K A370555 nonn,frac,easy
%O A370555 1,1
%A A370555 _Hugo Pfoertner_, Feb 23 2024