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

 

Logo

"Email this user" was broken Aug 14 to 9am Aug 16. If you sent someone a message in this period, please send it again.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A172193 5*n^2+31*n+1. 1
1, 37, 83, 139, 205, 281, 367, 463, 569, 685, 811, 947, 1093, 1249, 1415, 1591, 1777, 1973, 2179, 2395, 2621, 2857, 3103, 3359, 3625, 3901, 4187, 4483, 4789, 5105, 5431, 5767, 6113, 6469, 6835, 7211, 7597, 7993, 8399, 8815, 9241, 9677, 10123, 10579 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

G.f.: (1+34*x-25*x^2)/(1-x)^3.

a(n) = 3*a(n-1)-3*a(n-2)+a(n-3). - Vincenzo Librandi, Apr 07 2013

MATHEMATICA

CoefficientList[Series[(1 + 34 x - 25 x^2)/(1-x)^3, {x, 0, 60}], x] (* Vincenzo Librandi, Apr 07 2013 *)

PROG

(MAGMA) [ 5*n^2+31*n+1: n in [0..50] ];

(PARI) a(n)=5*n^2+31*n+1 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A172043 (5*n^2-n+1).

Sequence in context: A211725 A141895 A262566 * A141918 A063325 A044175

Adjacent sequences:  A172190 A172191 A172192 * A172194 A172195 A172196

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jan 29 2010

EXTENSIONS

Replaced definition with formula. - N. J. A. Sloane, Mar 03 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified August 20 03:34 EDT 2017. Contains 290823 sequences.