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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A086605 9n^3-18n^2+10n. 2
0, 1, 20, 111, 328, 725, 1356, 2275, 3536, 5193, 7300, 9911, 13080, 16861, 21308, 26475, 32416, 39185, 46836, 55423, 65000, 75621, 87340, 100211, 114288, 129625, 146276, 164295, 183736, 204653, 227100, 251131, 276800, 304161, 333268, 364175 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform is A086604. Second binomial transform is 3^(n-1)*n^3=A086603(n).

LINKS

Table of n, a(n) for n=0..35.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

G.f.: x(1+16x+37x^2)/(1-x)^4

a(0)=0, a(1)=1, a(2)=20, a(3)=111, a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - Harvey P. Dale, Mar 05 2013

MATHEMATICA

Table[9n^3-18n^2+10n, {n, 0, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {0, 1, 20, 111}, 40] (* Harvey P. Dale, Mar 05 2013 *)

CROSSREFS

Sequence in context: A024192 A309781 A228243 * A321050 A107837 A267843

Adjacent sequences:  A086602 A086603 A086604 * A086606 A086607 A086608

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 23 2003

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 November 17 00:08 EST 2019. Contains 329209 sequences. (Running on oeis4.)