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Find a solution to this math problem in grade one.
This series is actually obtained by multiplying each term of the standard Fibonacci series by 2, namely: 2, 2, 4, 6, 10, 16, 26, 42. ......

Then its nth number is twice that of Fibonacci sequence, so its general formula is:

Let the nth number be Fn, then Fn=2/ radical number 5 {* y: = x+x * y;

temp[2 1]:= x[2 1]* y[ 1, 1]+x * y[2 1];

temp:=x[2, 1]* y+x * y;

Exit (temporary);

End;

Function getcc(n: integer): matrix;

defined variable

Temp: matrix;

T: integer;

begin

If n= 1, exit (c);

t:= n div 2;

temp:= getcc(t);

temp:=multiply(temp,temp);

If it is odd (n), exit (multiply by (temp, c)).

Otherwise exit (temp);

End;

Process initialization;

begin

readln(n);

c[ 1, 1]:= 1;

c:= 1;

c[2, 1]:= 1;

c:= 0;

If n= 1

begin

writeln( 1);

Stop;

End;

If n=2, then

begin

writeln( 1);

Stop;

End;

cc:= getcc(n-2);

End;

Procedural work;

begin

writeln(cc[ 1, 1]+cc);

End;

begin

init

Work;

End.

Another solution of sequence value

f(n)=[(sqrt(5)+ 1)/2)^ n]

Where [x] represents the integer closest to x.

The first few items of the sequence

1 1

2 2

3 3

4 5

5 8

6 13

7 2 1

8 34

9 55

10 89

1 1 144

12 233

13 377

14 6 10

15 987

16 1597

17 2584

18 4 18 1

19 6765

20 10946