I can't figure out this pattern: 1, 1, 4, 3, 9, 6, 16, 10, 25, 15, __, __, __, __

Answer 1

I think this may be right.
1,1,4,3,9,6,16,10,25,15,36,21,49,28,64,36,etc
1+2=3
3+3=6
6+4=10
10+5=15
15+6=21
21+7=28
28+8=36

Answer 2

Looks good to me. Alternating square numbers and triangular numbers.