```go
package main

import (
	"bufio"
	"fmt"
	"os"
)

const MOD int64 = 1000000007

type FastScanner struct {
	r *bufio.Reader
}

func (fs *FastScanner) NextInt() int {
	sign, val := 1, 0
	c, err := fs.r.ReadByte()
	for err == nil && (c < '0' || c > '9') && c != '-' {
		c, err = fs.r.ReadByte()
	}
	if err != nil {
		return 0
	}
	if c == '-' {
		sign = -1
		c, _ = fs.r.ReadByte()
	}
	for c >= '0' && c <= '9' {
		val = val*10 + int(c-'0')
		c, err = fs.r.ReadByte()
		if err != nil {
			return sign * val
		}
	}
	_ = fs.r.UnreadByte()
	return sign * val
}

func main() {
	fs := &FastScanner{r: bufio.NewReaderSize(os.Stdin, 1<<20)}
	out := bufio.NewWriterSize(os.Stdout, 1<<20)
	defer out.Flush()

	n := fs.NextInt()
	parent := make([]int, n+1)
	prod := make([]int64, n+1)
	for i := 1; i <= n; i++ {
		prod[i] = 1
	}
	for i := 2; i <= n; i++ {
		parent[i] = fs.NextInt()
	}
	var ans int64
	for i := n; i >= 1; i-- {
		dp := (prod[i] + 1) % MOD
		if i == 1 {
			ans = dp
		} else {
			p := parent[i]
			prod[p] = prod[p] * dp % MOD
		}
	}
	fmt.Fprintln(out, ans)
}
```