use warnings;
use strict;


while(<DATA>){
  if(/Name:\s+?(.+?)$/){
    print $1,$/;
  }
  if(/Nucleotide Sequence/../^\s*$/){ # use "flip-flop" operator
     s/.*:\s+?//;  # remove the Nucleotide Sequence to :,then print
    print
  }
}

__DATA__
GeneID: 1002
Name: cadherin 4, type 1, R-cadherin (retinal)
Chromo: 20
Cytoband: 20q13.3
Nucleotide Sequence: atgaccgcgggcgccggcgtgctccttctgctgctctcgctctccggc
acagcgagactggagatatcgtcacagtggcggctggcctggaccgagagaaagttcagcagtacacag
cagcttgcgcatcctgtacctggaggccgggatgtatgacgtccccatcatcgtcacagactctggaaa

GeneID: 10077
Name: tetraspanin 32
Chromo: 11
Cytoband: 11p15.5
Nucleotide Sequence: atggggccttggagtcgagtcagggttgccaaatgccagatgctggtc

GeneID: 10078
Name: tumor suppressing subtransferable candidate 4
Chromo: 11
Cytoband: 11p15.5
Nucleotide Sequence: atggctgaggcaggaacaggtgagccgtcccccagcgtggagggcgaa