title: Count Even Length Binary Sequences With Same Sum Of First And Second Half Bits 1
signature: countEvenLengthBinarySequencesWithSameSumOfFirstAndSecondHalfBits1 :: Integer -> Double
  countEvenLengthBinarySequencesWithSameSumOfFirstAndSecondHalfBits1 n = 
source_py: def count_even_length_binary_sequences_with_same_sum_of_first_and_second_half_bits_1(n):
      nCr = 1
      res = 1
      for r in range(1, (n + 1)):
          nCr = ((nCr * ((n + 1) - r)) / r)
          res += (nCr * nCr)
      return res
source_cpp: int count_even_length_binary_sequences_with_same_sum_of_first_and_second_half_bits_1(int n) {
    int nCr = 1, res = 1;
    for ( int r = 1;
    r <= n;
    r ++ ) {
      nCr = ( nCr * ( n + 1 - r ) ) / r;
      res += nCr * nCr;
    }
    return res;
  }