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A336953 In binary representation, rotate the digits of n right n places. 3
0, 1, 2, 3, 2, 3, 6, 7, 8, 12, 10, 7, 12, 14, 11, 15, 8, 12, 10, 7, 20, 26, 21, 30, 17, 25, 13, 30, 19, 27, 30, 31, 8, 12, 10, 7, 36, 50, 41, 60, 34, 19, 42, 53, 11, 45, 58, 31, 48, 56, 44, 30, 19, 43, 54, 59, 14, 15, 43, 55, 60, 62, 47, 63, 32, 48, 40, 28 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
On the graph, there are a series of larger and larger parallelograms joined together by a straight line on y=x where n is unchanged, mostly in the case where n is a multiple of the bit length of n. In addition to the main line that cuts through the graph, each parallelogram has the same few sloped lines in its borders.
LINKS
EXAMPLE
a(3) = a('11') = '11' = 3;
a(4) = a('100') = '010' = '10' = 2;
a(5) = a('101') = '011' = '11' = 3;
MATHEMATICA
Array[FromDigits[RotateRight[IntegerDigits[#, 2], #], 2] &, 68, 0] (* Michael De Vlieger, Oct 05 2020 *)
PROG
(PARI) a(n) = my(d=binary(n)); for (k=1, n, d = concat(d[#d], d[1..#d-1])); fromdigits(d, 2); \\ Michel Marcus, Aug 09 2020
(Python)
def A336953(n):
if n == 0: return 0
l, m = -(n%n.bit_length()), bin(n)[2:]
return int(m[l:]+m[:l], 2) # Chai Wah Wu, Jan 22 2023
CROSSREFS
Cf. A007088, A038572 (rotated one binary place to the right).
Cf. A366139 (rotate left), A366140 (fixed points).
Sequence in context: A328841 A276008 A331171 * A193917 A089135 A215412
KEYWORD
nonn,base,look
AUTHOR
Gage Schacher, Aug 08 2020
STATUS
approved

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Last modified July 14 05:06 EDT 2024. Contains 374291 sequences. (Running on oeis4.)