How can a sequence be downloaded from UCSC genome browser
Yes. Table browser allows you to do that. 

In the dropdown box called output format select sequence and click the button named get output. You'll get the sequence.

If you don't think it works then this is the output that I am getting. (Fist few lines):

&gt;hg19_gold_AL096773.6 range=chr1:115207623-115347729 5'pad=0 3'pad=0 strand=- repeatMasking=none
GATCTGCCAGCGTCCACCTCCCGAGGTGCCGGGATTGCAGACGGAGTCTG
GTTCACTCAGTGCTCAATGGTGCCCAGGCTGGAGTGCAGTGGCGTGATCT
CGGCTCGCTACAACCTCCACCTCCCAGCCGCCTGCCCTGGCCTCCCAAAG
TGCCGAGATTGCAGCCTCTGCCCAGCCGCCACCCCGTCTGGGAAGTGAGG
AGCATCTCTGCCTGGCCGCCCATCATCTGGGATGTGAGGAGCCCCTCTGC
CTGGCTGCCCAGTCTGGGAAGTGAGGAGCGCCTCTTCCCGGCCGCCATCC


Actually Table browser is quite useful as you can get different kinds of data for a given genomic region which include annotations, variation, transcription factor binding sites etc.