The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, . . . , in which each successive number is equal to the sum of the two preceding numbers.
Couldn't tell you where they exist in nature.
Growth patterns of certain living things.
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It occurs in nature
No, they are not the normal Fibonacci numbers.
The first 85 Fibonacci numbers are:011235813213455891442333776109871,5972,5844,1816,76510,94617,71128,65746,36875,025121,393196,418317,811514,229832,0401,346,2692,178,3093,524,5785,702,8879,227,46514,930,35224,157,81739,088,16963,245,986102,334,155165,580,141267,914,296433,494,437701,408,7331,134,903,1701,836,311,9032,971,215,0734,807,526,9767,778,742,04912,586,269,02520,365,011,07432,951,280,09953,316,291,17386,267,571,272139,583,862,445225,851,433,717365,435,296,162591,286,729,879956,722,026,0411,548,008,755,9202,504,730,781,9614,052,739,537,8816,557,470,319,84210,610,209,857,72317,167,680,177,56527,777,890,035,28844,945,570,212,85372,723,460,248,141117,669,030,460,994190,392,490,709,135308,061,521,170,129498,454,011,879,264806,515,533,049,3931,304,969,544,928,6572,111,485,077,978,0503,416,454,622,906,7075,527,939,700,884,7578,944,394,323,791,46414,472,334,024,676,22123,416,728,348,467,68537,889,062,373,143,90661,305,790,721,611,59199,194,853,094,755,497160,500,643,816,367,088
37 is not in the Fibonacci number series, but is the sum of two Fibonacci numbers, 34 and 3. Fibonacci numbers are with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.
Fibonacci numbers are important in art and music. The ratio between successive Fibonacci numbers approximates an important constant called "the golden mean" or sometimes phi, which is approximately 1.61803.