Generate the first 80 Lucas numbers
What are Lucas Numbers?
An integer sequence named after Francois Lucas
Lucas Number Algorithm:
Ln = Ln - 1 + Ln - 2
where L0 = 1 and L1 = 1
Show the first 80 Lucas Numbers:
N/A = 2
N/A = 1
1 + 2 = 3
3 + 1 = 4
4 + 3 = 7
7 + 4 = 11
11 + 7 = 18
18 + 11 = 29
29 + 18 = 47
47 + 29 = 76
76 + 47 = 123
123 + 76 = 199
199 + 123 = 322
322 + 199 = 521
521 + 322 = 843
843 + 521 = 1,364
1,364 + 843 = 2,207
2,207 + 1,364 = 3,571
3,571 + 2,207 = 5,778
5,778 + 3,571 = 9,349
9,349 + 5,778 = 15,127
15,127 + 9,349 = 24,476
24,476 + 15,127 = 39,603
39,603 + 24,476 = 64,079
64,079 + 39,603 = 103,682
103,682 + 64,079 = 167,761
167,761 + 103,682 = 271,443
271,443 + 167,761 = 439,204
439,204 + 271,443 = 710,647
710,647 + 439,204 = 1,149,851
1,149,851 + 710,647 = 1,860,498
1,860,498 + 1,149,851 = 3,010,349
3,010,349 + 1,860,498 = 4,870,847
4,870,847 + 3,010,349 = 7,881,196
7,881,196 + 4,870,847 = 12,752,043
12,752,043 + 7,881,196 = 20,633,239
20,633,239 + 12,752,043 = 33,385,282
33,385,282 + 20,633,239 = 54,018,521
54,018,521 + 33,385,282 = 87,403,803
87,403,803 + 54,018,521 = 141,422,324
141,422,324 + 87,403,803 = 228,826,127
228,826,127 + 141,422,324 = 370,248,451
370,248,451 + 228,826,127 = 599,074,578
599,074,578 + 370,248,451 = 969,323,029
969,323,029 + 599,074,578 = 1,568,397,607
1,568,397,607 + 969,323,029 = 2,537,720,636
2,537,720,636 + 1,568,397,607 = 4,106,118,243
4,106,118,243 + 2,537,720,636 = 6,643,838,879
6,643,838,879 + 4,106,118,243 = 10,749,957,122
10,749,957,122 + 6,643,838,879 = 17,393,796,001
17,393,796,001 + 10,749,957,122 = 28,143,753,123
28,143,753,123 + 17,393,796,001 = 45,537,549,124
45,537,549,124 + 28,143,753,123 = 73,681,302,247
73,681,302,247 + 45,537,549,124 = 119,218,851,371
119,218,851,371 + 73,681,302,247 = 192,900,153,618
192,900,153,618 + 119,218,851,371 = 312,119,004,989
312,119,004,989 + 192,900,153,618 = 505,019,158,607
505,019,158,607 + 312,119,004,989 = 817,138,163,596
817,138,163,596 + 505,019,158,607 = 1,322,157,322,203
1,322,157,322,203 + 817,138,163,596 = 2,139,295,485,799
2,139,295,485,799 + 1,322,157,322,203 = 3,461,452,808,002
3,461,452,808,002 + 2,139,295,485,799 = 5,600,748,293,801
5,600,748,293,801 + 3,461,452,808,002 = 9,062,201,101,803
9,062,201,101,803 + 5,600,748,293,801 = 14,662,949,395,604
14,662,949,395,604 + 9,062,201,101,803 = 23,725,150,497,407
23,725,150,497,407 + 14,662,949,395,604 = 38,388,099,893,011
38,388,099,893,011 + 23,725,150,497,407 = 62,113,250,390,418
62,113,250,390,418 + 38,388,099,893,011 = 100,501,350,283,429
100,501,350,283,429 + 62,113,250,390,418 = 162,614,600,673,847
162,614,600,673,847 + 100,501,350,283,429 = 263,115,950,957,276
263,115,950,957,276 + 162,614,600,673,847 = 425,730,551,631,123
425,730,551,631,123 + 263,115,950,957,276 = 688,846,502,588,399
688,846,502,588,399 + 425,730,551,631,123 = 1,114,577,054,219,522
1,114,577,054,219,522 + 688,846,502,588,399 = 1,803,423,556,807,921
1,803,423,556,807,921 + 1,114,577,054,219,522 = 2,918,000,611,027,443
2,918,000,611,027,443 + 1,803,423,556,807,921 = 4,721,424,167,835,364
4,721,424,167,835,364 + 2,918,000,611,027,443 = 7,639,424,778,862,807
7,639,424,778,862,807 + 4,721,424,167,835,364 = 12,360,848,946,698,172
12,360,848,946,698,172 + 7,639,424,778,862,807 = 20,000,273,725,560,976
20,000,273,725,560,976 + 12,360,848,946,698,172 = 32,361,122,672,259,148
What is the Answer?
How does the Lucas Numbers Calculator work?
This calculator has 1 input.
What 1 formula is used for the Lucas Numbers Calculator?
What 8 concepts are covered in the Lucas Numbers Calculator?
- algorithm
- A process to solve a problem in a set amount of time
- fibonacci
- a number, commonly denoted Fn, which form the Fibonacci sequence, in which each number is the sum of the two preceding ones
- generator
- software algorithm that generates a number that is taken from a limited or unlimited distribution and outputs it
- lucas numbers
- notation
- An expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objects
- number
- an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
- recursive algorithm
- an algorithm which calls itself with smaller (or simpler) input values, and which obtains the result for the current input by applying simple operations to the returned value for the smaller (or simpler) input.
- sequence
- an arrangement of numbers or collection or objects in a particular order
