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A003608 Add 4, then reverse digits.
(Formerly M3339)

%I M3339

%S 0,4,8,21,52,65,96,1,5,9,31,53,75,97,101,501,505,905,909,319,323,723,

%T 727,137,141,541,545,945,949,359,363,763,767,177,181,581,585,985,989,

%U 399,304,803,708,217,122,621,526,35,93,79,38,24,82,68,27,13,71,57,16,2,6,1,5,9,31,53,75,97,101,501,505

%N Add 4, then reverse digits.

%D J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 15.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Nick Hobson, <a href="/A003608/a003608.py.txt">Python program for this sequence</a>

%F Has period 54.

%p rev:=proc(n) local nn, nnn: nn:=convert(n,base,10): add(nn[nops(nn)+1-j]*10^(j-1),j=1..nops(nn)) end: a[0]:=0: for n from 1 to 70 do a[n]:=rev(a[n-1]+4) od: seq(a[n],n=0..70); # _Emeric Deutsch_, Mar 07 2007

%t NestList[FromDigits[Reverse[IntegerDigits[#+4]]]&,0,70] (* _Harvey P. Dale_, Jan 20 2014 *)

%Y All of A003608, A016081, A016082 (and possibly others) eventually reach the trajectory of 1 shown in A119031. Cf. A055198.

%K nonn,base

%O 0,2

%A _N. J. A. Sloane_, _Mira Bernstein_

%E Corrected by Nick Hobson, Feb 21 2007

%E More terms from _Emeric Deutsch_, Mar 07 2007

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Last modified April 14 15:12 EDT 2021. Contains 342949 sequences. (Running on oeis4.)