A176630 Nonpalindromic numbers whose binary representation when reversed is the same as binary representation of the number reversed in decimal.
92, 732, 759, 957, 5485, 5845, 71869, 77360, 96817, 319773, 377913, 13162800, 39781062, 79497594, 94729789, 98792749, 144579540, 1231493321, 1233941321, 7075293947, 7493925707, 32817543720, 71461803829, 92830816417, 169709554740, 1432254694771, 1774964522341
Offset: 1
Examples
92 = 1011100 mirrors 0011101 = 29. 732 = 1011011100 mirrors 0011101101 = 237.
Programs
-
Mathematica
Select[Range[10^6], And[! PalindromeQ@ #, Drop[#, LengthWhile[#, # == 0 &]] &@ Reverse@ IntegerDigits[#, 2] === IntegerDigits[IntegerReverse[#], 2]] &] (* Michael De Vlieger, Dec 29 2020 *)
-
PARI
is(k)={my(t=fromdigits(Vecrev(digits(k,10)),10)); t<>k && t == fromdigits(Vecrev(digits(k,2)),2)} \\ Andrew Howroyd, Jan 14 2020 -
Python
def agen(): k = 0 while True: strk = str(k) revstrk = strk[::-1] if revstrk != strk: if int(revstrk) == int((bin(k)[2:])[::-1], 2): yield k k += 1 g = agen() print([next(g) for i in range(11)]) # Michael S. Branicky, Dec 29 2020
Formula
Extensions
Name clarified and a(12)-a(17) from Andrew Howroyd, Jan 14 2020
a(18)-a(24) from Michael S. Branicky, Dec 29 2020
a(25)-a(27) from Jinyuan Wang, Apr 07 2025
Comments