Sequence 0, 0, 1, 5, 23 The answer is a119 b79 C63 D 47 Explain the process!

Sequence 0, 0, 1, 5, 23 The answer is a119 b79 C63 D 47 Explain the process!

My algorithm
The first term 0 is used like this: 0 * 1 + 0 = 0 (the second term)
0*2+1=1
1*3+2=5
5*4+3=23
23*5+4=119
So choose a

Advanced in sequence reasoning
1、7、9、3、15、__
3、1、13、15、9、7、__
1、3、9、7、13、15、__
1、3、15、__

4、6、2、7

The problem of sequence reasoning
2,3,7,45,2017,（ ）
0.5,1,2,5,17,107,（ ）
We should take concrete measures and train of thought,

1.40682732 ^ 2-1 = 33 ^ 2-2 = 77 ^ 2-4 = 4545 ^ 2-8 = 20172017 ^ 2-16 = 40682732.1943, product of two numbers + sum of two numbers = next number (0.5 * 1) + (0.5 + 1) = 2 (1 * 2) + (1 + 2) = 5 (2 * 5) + (2 + 5) = 17 (5 * 17) + (5 + 17) = 107 (17 * 107) + (17 + 107) = 1943