docs: Add stake programming documentation (#14529)

* Add stake programming documentation

We had some questions about stake programming documentation, and there
wasn't a place that contained information about the stake-o-matic and
other stake development in one place.  This adds a page with that
information.

* Update docs/src/staking/stake-programming.md

Co-authored-by: Eric Williams <eric@solana.com>

* Update docs/src/staking/stake-programming.md

Co-authored-by: Eric Williams <eric@solana.com>

* Update docs/src/staking/stake-programming.md

Co-authored-by: Eric Williams <eric@solana.com>

* Update docs/src/staking/stake-programming.md

Co-authored-by: Eric Williams <eric@solana.com>

* Update docs/src/staking/stake-programming.md

Co-authored-by: Eric Williams <eric@solana.com>

* Apply suggestions from code review

* Remove trailing whitespace

Co-authored-by: Eric Williams <eric@solana.com>

docs/sidebars.js

@@ -45,6 +45,7 @@ module.exports = {
     "Staking": [
       "staking",
       "staking/stake-accounts",
+      "staking/stake-programming",
     ],
     "Command Line": [
       "cli",

docs/src/staking/stake-programming.md

@@ -0,0 +1,25 @@
+---
+title: Stake Programming
+---
+
+To maximize stake distribution, decentralization, and censorship resistance on
+the Solana network, staking can be performed programmatically. The team
+and community have developed several on-chain and off-chain programs to make
+stakes easier to manage.
+
+#### Stake-o-matic aka Auto-delegation Bots
+This off-chain program manages a large population of validators staked by a
+central authority. The Solana Foundation uses an auto-delegation bot to regularly delegate its
+stake to "non-delinquent" validators that meet specified performance requirements. More information can be found on the
+[official announcement](https://forums.solana.com/t/stake-o-matic-delegation-matching-program/790).
+
+#### Stake Pools
+This on-chain program pools together SOL to be staked by a manager, allowing SOL
+holders to stake and earn rewards without managing stakes.
+Users deposit SOL in exchange for SPL tokens (staking derivatives) that represent their ownership in the stake pool. The pool
+manager stakes deposited SOL according to their strategy, perhaps using a variant
+of an auto-delegation bot as described above. As stakes earn rewards, the pool and pool tokens
+grow proportionally in value. Finally, pool token holders can send SPL tokens
+back to the stake pool to redeem SOL, thereby participating in decentralization with much
+less work required. More information can be found at the
+[SPL stake pool documentation](https://spl.solana.com/stake-pool).