Erdös Lap Number

Definition:

Erdös is the only person with the Erdös Lap Number 0.
In order to acquire the Erdös Lap Number i one has to sit on a lap of a person with the number i-1.

NB: A proof (in a form of a photo or a notary certification) is required for any claims.

For example, Barbie Freidin (née Benzer) has the Erdös Lap Number of 1. On this photo (taken from the Fall 1996 issue of "Math PUrview") she is the leftmost epsilon.
Therefore, Oleg Pikhurko gets the the Erdös Lap Number 2. On the photo he is the O(1) (the O big of one) sitting on Barbie's lap.

Note: The Erdös Lap Number of 3 is not for sale or exchange but polite requests from persons weighting not more than 300lb will be considered. -OP

Open Question (Małgorzata Bednarska $10): Does there exist a person whose

(usual) Erdös Number = Erdös Lap Number = 1 ?

The Erdös Lap Graph is expanding!...

:-)