A056966 In binary: write what is described (putting a leading zero on numbers which have an odd number of binary digits).

0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 2, 2, 4, 5, 3, 3, 6, 7, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0

Offset

0,15

Links

Table of n, a(n) for n=0..104.

Example

a(54)=2 because 54 = 110110 base 2, which can be read as one 1 followed by zero 1's followed by one 0, i.e., 10 base 2 = 2 base 10.

Prog

(Python)
def A056966(n):
    s = bin(n)[2:]
    s = '0'*(len(s)&1)+s
    return int('0'+''.join(s[i+1]*int(s[i])for i in range(0, len(s), 2)), 2) # Chai Wah Wu, Feb 12 2023

Crossrefs

Cf. A014081, A049190, A056967.

Sequence in context: A194016 A292256 A095750 * A362363 A037846 A037882

Adjacent sequences: A056963 A056964 A056965 * A056967 A056968 A056969

Keyword

nonn,base

Author

Henry Bottomley, Jul 20 2000

Status

approved