Does Luden's Echo stack with Veigar?

Would the passive on Luden's Echo stack with Veigar's Q? According to the wiki:
PASSIVE: Veigar permanently gains ability power every time he scores a takedown against an enemy champion.
ABILITY POWER GAINED: +1 / 2 / 3 / 4 / 5 AP
Whenever Veigar kills a unit with Baleful Strike, he gains +1 AP, doubled to +2 AP against champions and large monsters and minions.
ACTIVE: Veigar unleashes a bolt of dark energy, dealing magic damage to the first two units hit.
So if you threw Veigar's Q into a group of low minions, and the three bolts from Luden's Echo's passive kill three extra minions (totaling 5 minions killed), would you gain bonus AP from those 3 minions also besides the two you hit with the spell? Why or Why not?
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Does Ludens Proc Veigar passive?
Would the passive on Luden's Echo stack with Veigar's Q? According to the wiki: PASSIVE: Veigar permanently gains ability power every time he scores a takedown against an enemy champion. Whenever Veigar kills a unit with Baleful Strike, he gains +1 AP, doubled to +2 AP against champions and large monsters and minions.Does Ludens stack?
Luden's Echo charges stacks at a rate of 10 stacks per spell cast instead of 20.How do you stack with Veigar?
How Do You Get Stacks on Veigar?Is Ludens good on ekko?
Luden's seems like a fantastic choice, especially for someone like Ekko. Extra mana, 20 cdr, high AP, and extra damage added on.Bring Me The Horizon - Ludens (Lyric Video)
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Images: Pok Rie, Tom Fisk, Karolina Grabowska, Pok Rie