Running Count Total with PostgresQL - postgresql

Question

I'm fairly close to this solution, but I just need a little help getting over the end.
I'm trying to get a running count of the occurrences of client_ids regardless of the date, however I need the dates and ids to still appear in my results to verify everything.
I found part of the solution here but have not been able to modify it enough for my needs.
Here is what the answer should be, counting if the occurrences of the client_ids sequentially :
id client_id deliver_on running_total
1 138 2017-10-01 1
2 29 2017-10-01 1
3 138 2017-10-01 2
4 29 2013-10-02 2
5 29 2013-10-02 3
6 29 2013-10-03 4
7 138 2013-10-03 3
However, here is what I'm getting:
id client_id deliver_on running_total
1 138 2017-10-01 1
2 29 2017-10-01 1
3 138 2017-10-01 1
4 29 2013-10-02 3
5 29 2013-10-02 3
6 29 2013-10-03 1
7 138 2013-10-03 2
Rather than counting the times the client_id appears sequentially, the code counts the time the id appears in the previous date range.
Here is my code and any help would be greatly appreciated.
Thank you,
SELECT n.id, n.client_id, n.deliver_on, COUNT(n.client_id) AS "running_total"
FROM orders n
LEFT JOIN orders o
ON (o.client_id = n.client_id
AND n.deliver_on > o.deliver_on)
GROUP BY n.id, n.deliver_on, n.client_id
ORDER BY n.deliver_on ASC
* EDIT WITH ANSWER *
I ending up solving my own question. Here is the solution with comments:
-- Set "1" for counting to be used later
WITH DATA AS (
SELECT
orders.id,
orders.client_id,
orders.deliver_on,
COUNT(1) -- Creates a column of "1" for counting the occurrences
FROM orders
GROUP BY 1
ORDER BY deliver_on, client_id
)
SELECT
id,
client_id,
deliver_on,
SUM(COUNT) OVER (PARTITION BY client_id
ORDER BY client_id, deliver_on
ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) -- Counts the sequential client_ids based on the number of times they appear
FROM DATA

Answer 1

Just the answer posted to close the question:
-- Set "1" for counting to be used later
WITH DATA AS (
SELECT
orders.id,
orders.client_id,
orders.deliver_on,
COUNT(1) -- Creates a column of "1" for counting the occurrences
FROM orders
GROUP BY 1
ORDER BY deliver_on, client_id
)
SELECT
id,
client_id,
deliver_on,
SUM(COUNT) OVER (PARTITION BY client_id
ORDER BY client_id, deliver_on
ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) -- Counts the sequential client_ids based on the number of times they appear
FROM DATA