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.

A374437 a(n) = [1 - (n + s)/2]_n * [1 - (n - s)/2]_n, where s = sqrt(-n*(2 + n)) and [x]_n is the Pochhammer function.

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%I A374437 #11 Feb 03 2025 14:06:41
%S A374437 1,1,6,96,2940,147015,10902528,1124057088,153811768320,26974095778125,
%T A374437 5899429878170400,1574248324943314944,503433848781210320064,
%U A374437 190069012187712441058275,83650190971694738227200000,42450063041684340146700288000,24606022217067172854917986516992
%N A374437 a(n) = [1 - (n + s)/2]_n * [1 - (n - s)/2]_n, where s = sqrt(-n*(2 + n)) and [x]_n is the Pochhammer function.
%F A374437 a(n) = A375050(n) / A000217(n) for n > 0.
%t A374437 a[n_] := With[{s = Sqrt[-n*(2 + n)]}, Pochhammer[1 - (n + s)/2, n] * Pochhammer[1 - (n - s)/2, n]]; Table[Simplify[a[n]], {n, 0, 16}]
%Y A374437 Cf. A375050, A000217.
%K A374437 nonn
%O A374437 0,3
%A A374437 _Peter Luschny_, Aug 02 2024
%E A374437 a(16) corrected by _Georg Fischer_, Feb 03 2025