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A000284 a(n) = a(n-1)^3 + a(n-2) with a(0)=0, a(1)=1. 1
0, 1, 1, 2, 9, 731, 390617900, 59601394712394173339000731, 211723599072542785377729319366442939995427829921816290889198752331804918235791 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
For n>0, a(n) = floor(c^(3^n)) where c=1.0275090796393628012075291021962112731026759143420911102331653107087209649910... - Gerald McGarvey, Nov 28 2007
MAPLE
A000284 := proc(n) option remember; if n <= 1 then n else A000284(n-2)+A000284(n-1)^3; fi; end;
a[-2]:=0: a[-1]:=1: a[0]:=1: a[1]:=2: for n from 2 to 6 do a[n]:=a[n-1]^3+a[n-2] od: seq(a[n], n=-2..6); # Zerinvary Lajos, Mar 19 2009
MATHEMATICA
RecurrenceTable[{a[n] == a[n-1]^3 + a[n-2], a[0] == 0, a[1] == 1}, a, {n, 0, 8}] (* Jean-François Alcover, Feb 06 2016 *)
nxt[{a_, b_}]:={b, b^3+a}; NestList[nxt, {0, 1}, 9][[All, 1]] (* Harvey P. Dale, May 08 2020 *)
CROSSREFS
Cf. A058182.
Sequence in context: A178391 A135361 A023366 * A208219 A208222 A208225
KEYWORD
nonn,easy
AUTHOR
Stephen J. Greenfield (greenfie(AT)math.rutgers.edu)
EXTENSIONS
a(9) from Vincenzo Librandi, Apr 26 2010
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)