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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098547 n^3+n^2+1. 8
1, 3, 13, 37, 81, 151, 253, 393, 577, 811, 1101, 1453, 1873, 2367, 2941, 3601, 4353, 5203, 6157, 7221, 8401, 9703, 11133, 12697, 14401, 16251, 18253, 20413, 22737, 25231, 27901, 30753, 33793, 37027, 40461, 44101, 47953, 52023, 56317, 60841, 65601 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..40.

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

FORMULA

a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - Colin Barker, Aug 29 2014

G.f.: -(x^3-7*x^2+x-1) / (x-1)^4. - Colin Barker, Aug 29 2014

MAPLE

with (combinat):seq(fibonacci(3, n)+n^3, n=0..40); # Zerinvary Lajos, May 25 2008

MATHEMATICA

Table[n^3+n^2+1, {n, 1, 100}] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *)

PROG

(MAGMA) [(n^3+n^2+1): n in [1..60]]; // Vincenzo Librandi, Apr 06 2011

(PARI) Vec(-(x^3-7*x^2+x-1)/(x-1)^4 + O(x^100)) \\ Colin Barker, Aug 29 2014

CROSSREFS

Cf. A000578, A066023, A001093, A034262, A071568, A011379, A027444, A053698, A033431, A033562, A061317.

Sequence in context: A147168 A147183 A254955 * A256316 A194486 A024535

Adjacent sequences:  A098544 A098545 A098546 * A098548 A098549 A098550

KEYWORD

nonn,easy,changed

AUTHOR

Douglas Winston (douglas.winston(AT)srupc.com), Oct 26 2004

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 June 25 11:52 EDT 2017. Contains 288710 sequences.