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 A385343 #15 Jun 26 2025 07:34:35
%S A385343 1,0,1,0,0,1,0,1,0,1,0,0,4,0,1,0,9,0,10,0,1,0,0,64,0,20,0,1,0,225,0,
%T A385343 259,0,35,0,1,0,0,2304,0,784,0,56,0,1,0,11025,0,12916,0,1974,0,84,0,1,
%U A385343 0,0,147456,0,52480,0,4368,0,120,0,1,0,893025,0,1057221,0,172810,0,8778,0,165,0,1
%N A385343 Exponential Riordan array (1, arcsin(x)).
%F A385343 E.g.f. of column k (with leading zeros): arcsin(x)^k / k!
%F A385343 T(n,k) = A121408(n,k) for k > 0.
%e A385343 Triangle starts:
%e A385343 1;
%e A385343 0, 1;
%e A385343 0, 0, 1;
%e A385343 0, 1, 0, 1;
%e A385343 0, 0, 4, 0, 1;
%e A385343 0, 9, 0, 10, 0, 1;
%e A385343 0, 0, 64, 0, 20, 0, 1;
%e A385343 0, 225, 0, 259, 0, 35, 0, 1;
%o A385343 (PARI) T(n, k) = my(x='x+O('x^(n+1))); n!*polcoef(asin(x)^k/k!, n);
%Y A385343 Essentialy same as A121408.
%Y A385343 Row sums give A006228.
%Y A385343 Cf. A091885, A136630, A185951.
%K A385343 nonn,tabl
%O A385343 0,13
%A A385343 _Seiichi Manyama_, Jun 26 2025