How to backup and delete a specific range of archivelogs

Use the "BACKKUP ARCHIVELOG FROM LOGSEQ .. UNTIL LOGSEQ" syntax:

RMAN> backup archivelog from logseq 3 until logseq 4 delete input;

Output will be similar to:

Starting backup at 27-MAY-14
using channel ORA_DISK_1
channel ORA_DISK_1: starting compressed archived log backup set
channel ORA_DISK_1: specifying archived log(s) in backup set
input archived log thread=1 sequence=3 RECID=3 STAMP=848499170
input archived log thread=1 sequence=4 RECID=4 STAMP=848499311
channel ORA_DISK_1: starting piece 1 at 27-MAY-14
channel ORA_DISK_1: finished piece 1 at 27-MAY-14
piece handle=/u04/archive/PRODDB01/backupset/2014_05_27/o1_mf_annnn_TAG20140527T115156_9r8r1wt7_.bkp tag=TAG20140527T115156 comment=NONE
channel ORA_DISK_1: backup set complete, elapsed time: 00:01:45
channel ORA_DISK_1: deleting archived log(s)
archived log file name=/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_3_9r3qksmy_.arc RECID=3 STAMP=848499170
archived log file name=/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_4_9r3qp6mt_.arc RECID=4 STAMP=848499311

A check in the V$ARCHIVED_LOG reveals what Oracle has done:

SQL>  select name,sequence#,archived,applied,deleted,status,IS_RECOVERY_DEST_FILE,compressed from v$archived_log;

NAME                                                                      SEQUENCE# ARC APPLIED   DEL S IS_ COM
------------------------------------------------------------------------ ---------- ---------- --- --------- --- - --- ---
                                                                                   1 YES NO        YES D YES NO
                                                                                   2 YES NO        YES D YES NO
                                                                                   3 YES NO        YES D YES NO
                                                                                   4 YES NO        YES D YES NO
/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_5_9r3r0fo6_.arc                5 YES NO        NO  A YES NO
/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_6_9r3rc6pf_.arc                6 YES NO        NO  A YES NO
/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_7_9r3rmkpr_.arc                7 YES NO        NO  A YES NO
/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_8_9r3s0vs3_.arc                8 YES NO        NO  A YES NO
/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_9_9r3sbst4_.arc                9 YES NO        NO  A YES NO
/u04/archive/PRODDB01/archivelog/2014_05_25/o1_mf_1_10_9r3so0v9_.arc              10 YES NO        NO  A YES NO