A133341 A007318 * A134312.

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, 112, 32, 8, 28, 112, 280, 448, 448, 256, 64, 9, 36, 168, 504, 1008, 1344, 1152, 576, 128, 10, 45, 240, 840, 2016, 3360, 3840, 2880, 1280, 256

Offset

0,2

Comments

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

Links

Table of n, a(n) for n=0..54.

Stijn Vandamme, On the derivatives of the powers of trigonometric and hyperbolic sine and cosine, arXiv:1911.01386 [math.GM], 2019.

Formula

Binomial transform of A134312, as infinite lower triangular matrices.

Example

First few rows of the triangle:
  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, 112,  32;
  ...

Crossrefs

Cf. A134312, A047926.

Sequence in context: A324751 A210595 A094435 * A111492 A319254 A210864

Adjacent sequences: A133338 A133339 A133340 * A133342 A133343 A133344

Keyword

nonn,tabl

Author

Gary W. Adamson, Oct 19 2007

Status

approved