login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A110855 Table T(n,k), n >= 0, k >= 0, product M*M^(T) where M is the lower triangular matrix in A048993 (Stirling2 numbers) and M^(T) denotes the transpose matrix of M, read by antidiagonals. 0
1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 4, 4, 1, 0, 0, 1, 8, 11, 8, 1, 0, 0, 1, 16, 28, 28, 16, 1, 0, 0, 1, 32, 71, 87, 71, 32, 1, 0, 0, 1, 64, 184, 266, 266, 184, 64, 1, 0, 0, 1, 128, 491, 823, 952, 823, 491, 128, 1, 0, 0, 1, 256, 1348, 2598, 3381, 3381 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,13

LINKS

Table of n, a(n) for n=0..72.

EXAMPLE

Matrix M:

  1, 0, 0, 0, 0, 0, 0, 0, ...

  0, 1, 0, 0, 0, 0, 0, 0, ...

  0, 1, 1, 0, 0, 0, 0, 0, ...

  0, 1, 3, 1, 0, 0, 0, 0, ...

  0, 1, 7, 6, 1, 0, 0, 0, ...

  ...

Matrix M^(T):

  1, 0, 0, 0, 0,  0, ...

  0, 1, 1, 1, 1,  1, ...

  0, 0, 1, 3, 7, 15, ...

  0, 0, 0, 1, 6, 25, ...

  0, 0, 0, 0, 1, 10, ...

  0, 0, 0, 0, 0,  1, ...

  ...

Table begins:

  1, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, ...

  0, 1,   1,   1,   1,   1,   1,   1,   1, 1,

  0, 1,   2,   4,   8,  16,  32,  64, 128, ...

  0, 1,   4,  11,  28,  71, 184, 491, ...

  0, 1,   8,  28,  87, 266, 823, ...

  0, 1,  16,  71, 266, 952, ...

  0, 1,  32, 184, 823, ...

  0, 1,  64, 491, ...

  0, 1, 128, ...

  0, 1, ...

  0, ...

CROSSREFS

Diagonal sums: 1, 0, 1, 2, 4, 10, 29, 90, 295, ... see A000995.

Main diagonal: 1, 1, 2, 11, 87, 952, 13513, ... see A047797.

Sequence in context: A168312 A076837 A055363 * A054673 A155103 A295819

Adjacent sequences:  A110852 A110853 A110854 * A110856 A110857 A110858

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Sep 17 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 5 23:36 EDT 2020. Contains 335475 sequences. (Running on oeis4.)