login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157898 Triangle read by rows: inverse binomial transform of A059576 3
1, 0, 1, 1, 1, 2, 0, 2, 2, 4, 1, 2, 6, 4, 8, 0, 3, 6, 16, 8, 16, 1, 3, 12, 16, 40, 16, 32, 0, 4, 12, 40, 40, 96, 32, 64, 1, 4, 20, 40, 120, 96, 224, 64, 128, 0, 5, 20, 80, 120, 336, 224, 512, 128, 256 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

The inverse binomial transform of the triangle A059576 is given by multiplying the triangle with A130595 from the left.

Row sums are A097076(n+1) starting 1, 1, 4, 8, 21, 49, ...

LINKS

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

EXAMPLE

First few rows of the triangle =

1;

0, 1;

1, 1, 2;

0, 2, 2, 4;

1, 2, 6, 4, 8;

0, 3, 6, 16, 8, 16;

1, 3, 12, 16, 40, 16, 32;

0, 4, 12, 40, 40, 96, 32, 64;

1, 4, 20, 40, 120, 96, 224, 64, 128;

0, 5, 20, 80, 120, 336, 224, 512, 128, 256;

...

MAPLE

A059576 := proc (n, k)

    if n = 0 then

        return 1;

    end if;

    if k <= n and k >= 0 then

        add((-1)^j*2^(n-j-1)*binomial(k, j)*binomial(n-j, k), j = 0 .. min(k, n-k))

    else

        0 ;

    end if

end proc:

A157898 := proc(n, k)

    add ( A130595(n, j)*A059576(j, k), j=k..n) ;

end proc: # R. J. Mathar, Feb 13 2013

CROSSREFS

Cf. A059576, A097076

Sequence in context: A226570 A158380 A051734 * A137430 A262138 A181346

Adjacent sequences:  A157895 A157896 A157897 * A157899 A157900 A157901

KEYWORD

nonn,tabl,easy

AUTHOR

Gary W. Adamson and  Roger L. Bagula, Mar 08 2009

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 22 13:55 EST 2018. Contains 299454 sequences. (Running on oeis4.)