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A273106 Numbers representable as ror(k)+rol(k), where ror(k)=A038572(k) is k rotated one binary place to the right, rol(k)=A006257(k) is k rotated one binary place to the left. 1
0, 2, 3, 5, 6, 8, 9, 10, 14, 15, 17, 19, 20, 22, 24, 25, 27, 29, 30, 32, 33, 34, 37, 38, 39, 42, 43, 44, 47, 48, 51, 52, 53, 56, 57, 58, 61, 62, 63, 65, 66, 67, 68, 70, 71, 72, 73, 75, 76, 77, 78, 80, 81, 82, 83, 85, 86, 87, 88, 90, 91, 92, 93, 95, 96, 98 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..65.

MATHEMATICA

Take[#, 66] &@ Union@ Table[FromDigits[RotateRight@ #, 2] + FromDigits[RotateLeft@ #, 2] &@ IntegerDigits[n, 2], {n, 0, 10^3}] (* Michael De Vlieger, May 17 2016 *)

PROG

(Python)

def ROR(n):                # returns A038572(n)

    BL = len(bin(n))-2

    return (n>>1) + ((n&1) << (BL-1))

def ROL(n):                # returns A006257(n) for n>0

    BL = len(bin(n))-2

    return (n*2) - (1<<BL) + 1

a = [0]

for n in range(1, 1000):  a.append(ROR(n) + ROL(n))

print sorted(set(a))

CROSSREFS

Cf. A006257, A038572, A088161, A088163, A273105.

Sequence in context: A225745 A238896 A190842 * A191179 A005837 A214980

Adjacent sequences:  A273103 A273104 A273105 * A273107 A273108 A273109

KEYWORD

nonn,base

AUTHOR

Alex Ratushnyak, May 15 2016

STATUS

approved

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Last modified February 21 04:18 EST 2019. Contains 320371 sequences. (Running on oeis4.)