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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A176663 A triangle of polynomial coefficients:p(x,n)=Sum[k!*Binomial[x, k], {k, 0, n}] 0
1, 1, 1, 1, 0, 1, 1, 2, -2, 1, 1, -4, 9, -5, 1, 1, 20, -41, 30, -9, 1, 1, -100, 233, -195, 76, -14, 1, 1, 620, -1531, 1429, -659, 161, -20, 1, 1, -4420, 11537, -11703, 6110, -1799, 302, -27, 1, 1, 35900, -98047, 106421, -61174, 20650, -4234, 519, -35, 1, 1, -326980 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Row sums are:

{1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,...}.

LINKS

Table of n, a(n) for n=0..56.

FORMULA

p(x,n)=Sum[k!*Binomial[x, k], {k, 0, n}];

t(n,m)=coefficients(p(x,n))

EXAMPLE

{1},

{1, 1},

{1, 0, 1},

{1, 2, -2, 1},

{1, -4, 9, -5, 1},

{1, 20, -41, 30, -9, 1},

{1, -100, 233, -195, 76, -14, 1},

{1, 620, -1531, 1429, -659, 161, -20, 1},

{1, -4420, 11537, -11703, 6110, -1799, 302, -27, 1},

{1, 35900, -98047, 106421, -61174, 20650, -4234, 519, -35, 1},

{1, -326980, 928529, -1066279, 662506, -248675, 59039, -8931, 835, -44, 1}

MATHEMATICA

Clear[p, x, n]

p[x_, n_] := Sum[k!*Binomial[x, k], {k, 0, n}];

Table[CoefficientList[ExpandAll[p[x, n]], x], {n, 0, 10}];

Flatten[%]

CROSSREFS

Sequence in context: A121697 A225201 A124976 * A113021 A298261 A152937

Adjacent sequences:  A176660 A176661 A176662 * A176664 A176665 A176666

KEYWORD

sign,tabl,uned

AUTHOR

Roger L. Bagula, Apr 23 2010

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 April 23 21:25 EDT 2019. Contains 322388 sequences. (Running on oeis4.)