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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A000317 a(n+1) = a(n)^2 - a(n) a(n-1) + a(n-1)^2. 2
1, 2, 3, 7, 37, 1159, 1301767, 1693089917617, 2866551265129451657751739, 8217116155610406522540626640615749228405055996847 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n = 1..14

Emmanuel Ferrand, Deformations of the Taylor Formula, Journal of Integer Sequences, Vol. 10 (2007), Article 07.1.7.

MAPLE

A000317 := proc(n) option remember; if n <=2 then n else A000317(n-1)^2-A000317(n-1)*A000317(n-2)+A000317(n-2)^2; fi; end;

MATHEMATICA

t = {1, 2}; Do[AppendTo[t, t[[-1]]^2 - t[[-1]] t[[-2]] + t[[-2]]^2], {n, 10}]; t (* T. D. Noe, Jun 19 2012 *)

RecurrenceTable[{a[n] == a[n-1]^2 - a[n-1]*a[n-2] + a[n-2]^2, a[1] == 1, a[2] == 2}, a, {n, 1, 10}] (* Jean-François Alcover, Feb 07 2016 *)

PROG

(MAGMA) I:=[1, 2]; [n le 2 select I[n]  else  Self(n-1)^2 - Self(n-1)*Self(n-2) + Self(n-2)^2: n in [1..11]]; // Vincenzo Librandi, Jul 18 2015

CROSSREFS

Sequence in context: A034900 A079388 A183605 * A047024 A182219 A227777

Adjacent sequences:  A000314 A000315 A000316 * A000318 A000319 A000320

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

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 December 2 15:01 EST 2016. Contains 278678 sequences.