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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A046757 Triangle of coefficients of certain polynomials (exponents in decreasing order). 1
1, 2, 1, 5, 5, 1, 30, 30, 10, 1, 272, 272, 102, 17, 1, 3250, 3250, 1300, 260, 26, 1, 47952, 47952, 19980, 4440, 555, 37, 1, 840350, 840350, 360150, 85750, 12250, 1050, 50, 1, 17039360, 17039360, 7454720, 1863680, 291200, 29120, 1820, 65, 1, 392203458 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..45.

FORMULA

a(n, n)= 1, a(n, m)= (1+n^2)*binomial(n, m)*n^(n-m-2), n>m >= 0, else 0.

EXAMPLE

{1}; {2,1}; {5,5,1}; {30,30,10,1}; {272,272,102,17,1}; .... E.g. third row {5,5,1} corresponds to polynomial q{3,x)= 5*x^2+5*x+1.

CROSSREFS

x*p(k-1, -x)/q(k, -x), with the row polynomials p(n, x) from triangle A033842(n, m) is for k=1..5 G.f. for A000079 (powers of two), A039717, A043553, A045624, A046088, respectively.

Sequence in context: A248727 A270250 A204119 * A248905 A118244 A108410

Adjacent sequences:  A046754 A046755 A046756 * A046758 A046759 A046760

KEYWORD

easy,nonn,tabl

AUTHOR

Wolfdieter Lang

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 March 23 18:13 EDT 2019. Contains 321433 sequences. (Running on oeis4.)