A theatre booking service is often asked to book adjecent seats:
drop table if exists seats;
create table seats(row char(1),seat int,booked tinyint);
insert into seats values
('i',1,0),('i',2,0),('i',3,0),('i',4,0),('i',5,0),('i',6,0),('i',7,0),('i',8,0),
('i',9,0),('i',10,0),('i',11,0),('i',12,0),('i',13,0),('i',14,0),('i',15,0),
('j',1,1),('j',2,0),('j',3,1),('j',4,0),('j',5,0),('j',6,0),('j',7,1),('j',8,0),
('j',9,0),('j',10,0),('j',11,0),('j',12,0),('j',13,1),('j',14,0),('j',15,0);
The simplest method is a selfjoin:
 two adjacent seats
select a.row,a.seat,b.seat
from seats a
join seats b on a.row=b.row and a.seat=b.seat1
where a.booked=0 and b.booked=0
limit 1;
++++
 row  seat  seat 
++++
 i  1  2 
++++
 three adjacent seats
select a.row,a.seat,b.seat,c.seat
from seats a
join seats b on a.row=b.row and a.seat=b.seat1
join seats c on a.row=c.row and b.seat=c.seat1
where a.booked=0 and b.booked=0 and c.booked=0
limit 1;
+++++
 row  seat  seat  seat 
+++++
 i  1  2  3 
+++++
But that approach requires a different query for each different number of adjacent seats. The Find blocks of unused numbers query pattern can be used to find all empty seats. Optionally you can add a HAVING clause specifying the number of adjacent seats required:
SELECT e.row, firstUnused, IF(mincseat IS NULL, IFNULL(dseat,firstUnused),mincseat1) AS lastUnused
FROM (
SELECT first.row, first.seat AS firstUnused, MIN(c.seat) AS mincseat, MAX(d.seat) AS dseat
FROM (
SELECT a.row, a.seat
FROM seats a
LEFT JOIN seats b ON a.row=b.row AND a.seat=b.seat + 1
WHERE a.booked=0 AND (b.seat IS NULL OR b.booked=1)
) AS first
LEFT JOIN seats c ON first.seat < c.seat AND c.booked=1 AND c.row = first.row
LEFT JOIN seats d ON first.seat < d.seat AND d.booked=0 AND d.row = first.row
GROUP BY firstUnused
) AS e
HAVING lastUnusedfirstUnused>=N;  N=no.of required adjacent seats

