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A255589 Convert n to base 4, move the least significant digit to the most significant one and convert back to base 10. 3
0, 1, 2, 3, 1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 20, 36, 52, 5, 21, 37, 53, 6, 22, 38, 54, 7, 23, 39, 55, 8, 24, 40, 56, 9, 25, 41, 57, 10, 26, 42, 58, 11, 27, 43, 59, 12, 28, 44, 60, 13, 29, 45, 61, 14, 30, 46, 62, 15, 31, 47, 63, 16, 80, 144, 208, 17, 81 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Fixed points of the transform are listed in A048329.

LINKS

Indranil Ghosh, Table of n, a(n) for n = 0..16384 (terms 0..1000 from Paolo P. Lava)

FORMULA

a(4*k) = k.

a(4^k) = 4^(k-1).

EXAMPLE

11 in base 4 is 23: moving the least significant digit to the most significant one we have 32 that is 14 in base 10.

MAPLE

with(numtheory): P:=proc(q, h) local a, b, k, n; print(0);

for n from 1 to q do

a:=convert(n, base, h); b:=[]; for k from 2 to nops(a) do b:=[op(b), a[k]]; od; a:=[op(b), a[1]];

a:=convert(a, base, h, 10); b:=0; for k from nops(a) by -1 to 1 do b:=10*b+a[k]; od;

print(b); od; end: P(10^4, 4);

MATHEMATICA

roll[n_, b_] := Block[{w = IntegerDigits[n, b]}, Prepend[Most@ w, Last@ w]]; b = 4; FromDigits[#, b] & /@ (roll[#, b] & /@ Range[0, 69]) (* Michael De Vlieger, Mar 04 2015 *)

Array[FromDigits[RotateRight[IntegerDigits[#, 4]], 4]&, 70, 0] (* Harvey P. Dale, Mar 01 2016 *)

PROG

(Python)

def A255589(n):

....x=str(A007090(n))

....return int(x[-1]+x[:-1], 4) # Indranil Ghosh, Feb 03 2017

CROSSREFS

Cf. A030103, A038572, A048329, A255588, A255590-A255594, A048787, A255689-A255693.

Sequence in context: A080409 A255689 A030103 * A290053 A105640 A090299

Adjacent sequences:  A255586 A255587 A255588 * A255590 A255591 A255592

KEYWORD

nonn,easy,base

AUTHOR

Paolo P. Lava, Mar 02 2015

STATUS

approved

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Last modified November 29 08:47 EST 2020. Contains 338762 sequences. (Running on oeis4.)