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 A051109 Hyperinflation sequence for banknotes. 3
 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, 2000, 5000, 10000, 20000, 50000, 100000, 200000, 500000, 1000000, 2000000, 5000000, 10000000, 20000000, 50000000, 100000000, 200000000, 500000000, 1000000000, 2000000000, 5000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Denominations of Polish banknotes circa 1995. English coins in 2006 have denominations of 1, 2, 5, 10, 20, 50, 100, 200 pence. LINKS FORMULA a(3n)=10^n, a(3n+1)=2*10^n, a(3n+2)=5*10^n a(n) = [(n%3)^2 + 1]*10^floor(n/3). E.g. a(0) = [(0%3)^2 + 1]*10^floor(0/3) = [0^2 + 1]*10^0 = 1, a(4) = [(4%3)^2 + 1]*10^floor(4/3) = [1^2 + 1]*10^1 = 20, a(8) = [(8%3)^2 + 1]*10^floor(8/3) = [2^2 + 1]*10^2 = 500. - Justin L. Brown (jlbrown(AT)neo.tamu.edu), Jun 17 2004 G.f.: (1+2*x+5*x^2)/(1-10*x^3). - Philippe Deléham, Apr 08 2013 a(n) = 10*a(n-3) with n>2, a(0)=1, a(1)=2, a(2)=5. - Philippe Deléham, Apr 08 2013 PROG (Python) print( [ ((n % 3) ** 2 + 1) * 10**int(n/3) for n in range(100)] ) CROSSREFS Cf. A117727. Sequence in context: A330456 A176692 A212951 * A124146 A262408 A344378 Adjacent sequences:  A051106 A051107 A051108 * A051110 A051111 A051112 KEYWORD easy,nonn AUTHOR Robert Lozyniak (11(AT)onna.com) EXTENSIONS Second formula corrected by Peter C. Lauterbach, Nov 12 2010 STATUS approved

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Last modified September 28 19:16 EDT 2021. Contains 347717 sequences. (Running on oeis4.)