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

Offset

1,1

Comments

The binary representation of a decimal number, when reversed, is also the reverse of the decimal number.

Links

Table of n, a(n) for n=1..24.

Formula

Intersection of A029742 and A081434. - Andrew Howroyd, Jan 14 2020

Example

92 = 1011100 mirrors 0011101 = 29.
732 = 1011011100 mirrors 0011101101 = 237.

Mathematica

Select[Range[10^6], And[! PalindromeQ@ #, Drop[#, LengthWhile[#, # == 0 &]] &@ Reverse@ IntegerDigits[#, 2] === IntegerDigits[IntegerReverse[#], 2]] &] (* Michael De Vlieger, Dec 29 2020 *)

Prog

(PARI) is(n)={my(t=fromdigits(Vecrev(digits(n, 10)), 10)); t<>n && t == fromdigits(Vecrev(digits(n, 2)), 2)}
{ for(k=1, 10^6, if(is(k), print1(k, ", "))) } \\ 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

Crossrefs

Cf. A029742, A081434.

Sequence in context: A107343 A355622 A231300 * A281077 A207061 A279913

Adjacent sequences: A176627 A176628 A176629 * A176631 A176632 A176633

Keyword

base,more,nonn

Author

Gil Broussard, Apr 22 2010

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

Status

approved