Preheat oven to 350* F. Line baking sheets with foil. Do NOT GREASE.

In a medium saucepan, combine butter, brown sugar and corn syrup. Cook over medium heat until butter melts and mixture boils, stirring constantly. Remove from heat. All at once, stir in flour, almonds, and sesame seeds until thoroughly blended. Stir in vanila. Drop by half-teaspoonfuls, 3 inches apart on, foil-lined baking sheets. It will look like a very small about of dough. Cookies need plenty of room for spreading.

Bake for 6 to 8 minutes or until a rich golden color. Cool 5 minutes on baking sheets before carefully peeling off foil. Place cookies on cooling racks to cool completely.