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A273105
a(n) = A038572(n) + A006257(n), sum of the two numbers obtained by rotating the binary representation of n by one place to the right and to the left.
4
0, 2, 2, 6, 3, 9, 8, 14, 5, 15, 10, 20, 15, 25, 20, 30, 9, 27, 14, 32, 19, 37, 24, 42, 29, 47, 34, 52, 39, 57, 44, 62, 17, 51, 22, 56, 27, 61, 32, 66, 37, 71, 42, 76, 47, 81, 52, 86, 57, 91, 62, 96, 67, 101, 72, 106, 77, 111, 82, 116, 87, 121, 92, 126, 33, 99
OFFSET
0,2
MATHEMATICA
Table[FromDigits[RotateRight@ #, 2] + FromDigits[RotateLeft@ #, 2] &@ IntegerDigits[n, 2], {n, 0, 65}] (* Michael De Vlieger, May 17 2016 *)
PROG
(Python)
print('0', end=', ')
for n in range(1, 1000):
BL = len(bin(n))-2
x = (n>>1) + ((n&1) << (BL-1)) # A038572(n)
x+= (n*2) - (1<<BL) + 1 # A006257(n) for n>0
print(str(x), end=', ')
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Alex Ratushnyak, May 15 2016
STATUS
approved