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.
%I A363255 #5 May 24 2023 07:33:17 %S A363255 1,2,12,86,816,9126,122028,1855802,32001504,613558458,12989299596, %T A363255 300515004558,7550646317520,204680035934550,5955892801274796, %U A363255 185157207502788074,6125200081143892800,214837212308039658666,7963817560398871790604,311101097650387613661510 %N A363255 Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + 1!!*x + 3!!*x^2 + 5!!*x^3 + 7!!*x^4 + ... %t A363255 A[m_, n_] := A[m, n] = Which[m == 1, (2 n - 1)!!, m > n >= 1, 0, True, A[m - 1, n] - A[m - 1, m - 1] A[m - 1, n - m + 1]]; a[n_] := A[n, n]; a /@ Range[1, 20] %Y A363255 Cf. A001147, A305868, A305870, A316084, A363254. %K A363255 nonn %O A363255 1,2 %A A363255 _Ilya Gutkovskiy_, May 23 2023