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 A362994 #20 Aug 09 2023 08:02:08 %S A362994 1,1,1,0,-2,0,10,0,-84,0,2100,0,-91212,0,420420,0,-86894808,0, %T A362994 12796881240,0,-123176186952,0,33154044803880,0,-2317852458291480,0, %U A362994 114488177740536600,0,-63580025062953158760,0,43435207772044760997000,0,-2182849703429651931795120 %N A362994 a(n) = lcm(1, 2, ..., n+1) * Bernoulli(n, 1). Alternating row sums of A362995 and A363154. %H A362994 <a href="/index/Be#Bernoulli">Index entries for sequences related to Bernoulli numbers</a>. %F A362994 a(n) = LCM(n) * Sum_{j=0..n} (-1)^(n - j) * j! * Stirling2(n, j) / (j + 1), where LCM(n) = lcm(i + 1, i = 0..n). %p A362994 A362994 := n -> ilcm(seq(i + 1, i = 0..n)) * bernoulli(n, 1): %p A362994 seq(A362994(n), n = 0..32); %t A362994 A362994[n_]:=LCM@@Range[n+1]BernoulliB[n, 1];Array[A362994,50,0] (* _Paolo Xausa_, Aug 09 2023 *) %o A362994 (PARI) a(n) = lcm([1..n+1])*subst(bernpol(n), 'x, 1); \\ _Michel Marcus_, Aug 09 2023 %Y A362994 Cf. A362995 (alternating row sum), A363154 (alternating row sum), A003418 (lcm), A164555/A027642 (Bernoulli), A362991 (column 0). %K A362994 sign %O A362994 0,5 %A A362994 _Peter Luschny_, May 14 2023