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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

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 November 21 13:53 EST 2017. Contains 295001 sequences.