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A133341 A007318 * A134312. 0

%I #12 Jan 22 2020 15:11:01

%S 1,2,1,3,3,2,4,6,8,4,5,10,20,20,8,6,15,40,60,48,16,7,21,70,140,168,

%T 112,32,8,28,112,280,448,448,256,64,9,36,168,504,1008,1344,1152,576,

%U 128,10,45,240,840,2016,3360,3840,2880,1280,256

%N A007318 * A134312.

%C Row sums = A047926: (1, 3, 8, 22, 63, 185, ...).

%H Stijn Vandamme, <a href="https://arxiv.org/abs/1911.01386">On the derivatives of the powers of trigonometric and hyperbolic sine and cosine</a>, arXiv:1911.01386 [math.GM], 2019.

%F Binomial transform of A134312, as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e 2, 1;

%e 3, 3, 2;

%e 4, 6, 8, 4;

%e 5, 10, 20, 20, 8;

%e 6, 15, 40, 60, 48, 16;

%e 7, 21, 70, 140, 168, 112, 32;

%e ...

%Y Cf. A134312, A047926.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Oct 19 2007

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Last modified April 17 20:27 EDT 2024. Contains 371767 sequences. (Running on oeis4.)