Recipe - almond apple cake from Rosendal

My mom gave us a wonderful cookbook, The Garden Cafe at Rosendal, which is filled with recipes, photos and stories from the organic garden and cafe Rosendal on Djurgården in Stockholm.  For Valentine's Eve I made one of the recipes, Apple Cake with Almond, with some slight modifications (I didn't put shaved butter on top, like the recipe says). It was dense, luscious, and delicious. 

Ingredients (American measurements):
5 eggs (an egg is an egg in the US too!)
3/4 cups granulated sugar
1/2 cup vanilla sugar (can be bought at IKEA, if you don't have it, use confectioners sugar and two drops of vanilla extract)
5 oz almond paste (look in the baking section of the supermarket, Odense is a good brand)
2 tbsp cinnamon (we had extra strong cinnamon so I used only 1 tbsp)
1 3/4 cups white flour
4 large apples (I used 2 green and 2 bright red, organic is best, do not peel)
1/2 cup (or less) pearl sugar (can also be bought at IKEA)
5 tbsp butter (I didn't include this, too many calories... but it makes the cake more moist and fresh...)

Turn on oven to about 375 degrees F. Whisk the eggs, granulated sugar and vanilla sugar a lot so it turns into whitish foamy mix.  Grate the almond paste using a cheese grater (large hole size), and mix in separate bowl with flour and cinnamon.  Add the egg mix, mix in slowly. Cut apples in half, core them, and then slice very thinly. Take a round pan with removable sides and butter it and then add breadcrumbs, so the cake will not stick in the pan.  Add the mix, and then stick the apple pieces into the pan.  Put MANY apple pieces in.  I added them in a circular pattern that looked great, but I should have added more apples, will do next time (I will probably add the mix and the apples in horizontal layers next time too, then I can add more apples and maybe use a bit less egg and flour mix. Add the pearl sugar on top.  At the end you are supposed to shave off thin slices of the cold butter and add on top, I skipped this step.  I am sure it will be just more delicious if you add the butter.  Put in oven, takes about 40 min (check with toothpick to see if it is done).  Before and after photos below (click for larger photos on Flickr).  Mmmmm!