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.

A166335 Exponential Riordan array [1+x*sinh(x), x].

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%I A166335 #12 Jul 19 2019 14:27:05
%S A166335 1,0,1,2,0,1,0,6,0,1,4,0,12,0,1,0,20,0,20,0,1,6,0,60,0,30,0,1,0,42,0,
%T A166335 140,0,42,0,1,8,0,168,0,280,0,56,0,1,0,72,0,504,0,504,0,72,0,1,10,0,
%U A166335 360,0,1260,0,840,0,90,0,1
%N A166335 Exponential Riordan array [1+x*sinh(x), x].
%F A166335 Number triangle T(n,k)=[k<=n]*C(n,k)*((n-k)+0^((n-k)/2))(1+(-1)^(n-k))/2.
%e A166335 Triangle begins
%e A166335 1,
%e A166335 0, 1,
%e A166335 2, 0, 1,
%e A166335 0, 6, 0, 1,
%e A166335 4, 0, 12, 0, 1,
%e A166335 0, 20, 0, 20, 0, 1,
%e A166335 6, 0, 60, 0, 30, 0, 1,
%e A166335 0, 42, 0, 140, 0, 42, 0, 1,
%e A166335 8, 0, 168, 0, 280, 0, 56, 0, 1,
%e A166335 0, 72, 0, 504, 0, 504, 0, 72, 0, 1,
%e A166335 10, 0, 360, 0, 1260, 0, 840, 0, 90, 0, 1
%t A166335 (* The function RiordanArray is defined in A256893. *)
%t A166335 RiordanArray[1 + # Sinh[#]&, #&, 11, True] // Flatten (* _Jean-François Alcover_, Jul 19 2019 *)
%Y A166335 Row sums are A131056. Diagonal sums are A166336. Central coefficients are A166337.
%K A166335 easy,nonn,tabl
%O A166335 0,4
%A A166335 _Paul Barry_, Oct 12 2009