Can someone explain why I terminated this sequence at 73?

1 1
2 2
3 3
4 5
5 8
6 13
7 21
8 34
9 55
10 89
11 144
12 233
13 377
14 610
15 987
16 1,597
17 2,584
18 4,181
19 6,765
20 10,946
21 17,711
22 28,657
23 46,368
24 75,025
25 121,393
26 196,418
27 317,811
28 514,229
29 832,040
30 1,346,269
31 2,178,309
32 3,524,578
33 5,702,887
34 9,227,465
35 14,930,352
36 24,157,817
37 39,088,169
38 63,245,986
39 102,334,155
40 165,580,141
41 267,914,296
42 433,494,437
43 701,408,733
44 1,134,903,170
45 1,836,311,903
46 2,971,215,073
47 4,807,526,976
48 7,778,742,049
49 12,586,269,025
50 20,365,011,074
51 32,951,280,099
52 53,316,291,173
53 86,267,571,272
54 139,583,862,445
55 225,851,433,717
56 365,435,296,162
57 591,286,729,879
58 956,722,026,041
59 1,548,008,755,920
60 2,504,730,781,961
61 4,052,739,537,881
62 6,557,470,319,842
63 10,610,209,857,723
64 17,167,680,177,565
65 27,777,890,035,288
66 44,945,570,212,853
67 72,723,460,248,141
68 117,669,030,460,994
69 190,392,490,709,135
70 308,061,521,170,129
71 498,454,011,879,264
72 806,515,533,049,393

73 1,304,969,544,928,660

nt

But why at #73?
Hint: the number is incorrect.

What should it be?
[code]
Fibonacci Golden Ratio
Fib(i)= GR(i)=
i Fib(i-1)+Fib(i-2) Fib(i)/Fib(i-1)

1 1
2 2 2.00000000000000
3 3 1.50000000000000
4 5 1.66666666666667
5 8 1.60000000000000
6 13 1.62500000000000
7 21 1.61538461538462
8 34 1.61904761904762
9 55 1.61764705882353
10 89 1.61818181818182
11 144 1.61797752808989
12 233 1.61805555555556
13 377 1.61802575107296
14 610 1.61803713527851
15 987 1.61803278688525
16 1,597 1.61803444782168
17 2,584 1.61803381340013
18 4,181 1.61803405572755
19 6,765 1.61803396316671
20 10,946 1.61803399852180
21 17,711 1.61803398501736
22 28,657 1.61803399017560
23 46,368 1.61803398820532
24 75,025 1.61803398895790
25 121,393 1.61803398867044
26 196,418 1.61803398878024
27 317,811 1.61803398873830
28 514,229 1.61803398875432
29 832,040 1.61803398874820
30 1,346,269 1.61803398875054
31 2,178,309 1.61803398874965
32 3,524,578 1.61803398874999
33 5,702,887 1.61803398874986
34 9,227,465 1.61803398874991
35 14,930,352 1.61803398874989
36 24,157,817 1.61803398874990
37 39,088,169 1.61803398874989
38 63,245,986 1.61803398874990
39 102,334,155 1.61803398874989
40 165,580,141 1.61803398874989
41 267,914,296 1.61803398874989
42 433,494,437 1.61803398874989
43 701,408,733 1.61803398874989
44 1,134,903,170 1.61803398874989
45 1,836,311,903 1.61803398874989
46 2,971,215,073 1.61803398874989
47 4,807,526,976 1.61803398874989
48 7,778,742,049 1.61803398874989
49 12,586,269,025 1.61803398874989
50 20,365,011,074 1.61803398874989
51 32,951,280,099 1.61803398874989
52 53,316,291,173 1.61803398874989
53 86,267,571,272 1.61803398874989
54 139,583,862,445
55 225,851,433,717
56 365,435,296,162
57 591,286,729,879
58 956,722,026,041
59 1,548,008,755,920
60 2,504,730,781,961
61 4,052,739,537,881
62 6,557,470,319,842
63 10,610,209,857,723
64 17,167,680,177,565
65 27,777,890,035,288
66 44,945,570,212,853
67 72,723,460,248,141
68 117,669,030,460,994
69 190,392,490,709,135
70 308,061,521,170,129
71 498,454,011,879,264
72 806,515,533,049,393
73 1,304,969,544,928,660