A370556 -id:A370556 - cp's OEIS frontend

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.

2, 5, 25, 425, 221, 8177, 204425, 13287625, 544792625, 2200962205, 134258694505, 19467510703225, 9791351537125, 1928896252813625, 8718611062717585, 2240683043118419345, 1124218135820660225, 365370894141714573125, 66132131839650337735625, 1060759394707991417279425

Offset: 1

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Hugo Pfoertner, Feb 23 2024

nonn
frac
easy

f(n) may also be chosen as Product_{k=1..n} (1 + i/k) without changing the result.

A370556 are the corresponding denominators.

Cf. A370547, A370548, A370549, A370550, A370551, A370552, A370553, A370554.

a370555(n) = my (f(n)=prod(k=1, n, 1/k+I)); numerator(f(n)*conj(f(n)))

cp's OEIS Frontend

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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