Padovan Number Checker is a free online tool used to check if the given number is a Padovan number.
What is a Padovan number?
Padovan numbers are numbers in the Padovan sequence. The Padovan sequence is a sequence of integers represented by the recurrence relation:
P(n) = P(n – 2) + P(n – 3)
Here, P(0) = P(1) = P(2) = 1.
For example, the 5th Padovan number.
P(5) = P(3) + P(2)
where P(3) = P(1) + P(0)
P(5) = P(3) + P(2) = P(1) + P(0) + P(2) = 1 + 1 + 1 = 3
The first 100 numbers in the Padovan sequence
- 1
- 1
- 1
- 2
- 2
- 3
- 4
- 5
- 7
- 9
- 12
- 16
- 21
- 28
- 37
- 49
- 65
- 86
- 114
- 151
- 200
- 265
- 351
- 465
- 616
- 816
- 1081
- 1432
- 1897
- 2513
- 3329
- 4410
- 5842
- 7739
- 10252
- 13581
- 17991
- 23833
- 31572
- 41824
- 55405
- 73396
- 97229
- 128801
- 170625
- 226030
- 299426
- 396655
- 525456
- 696081
- 922111
- 1221537
- 1618192
- 2143648
- 2839729
- 3761840
- 4983377
- 6601569
- 8745217
- 11584946
- 15346786
- 20330163
- 26931732
- 35676949
- 47261895
- 62608681
- 82938844
- 109870576
- 145547525
- 192809420
- 255418101
- 338356945
- 448227521
- 593775046
- 786584466
- 1042002567
- 1380359512
- 1828587033
- 2422362079
- 3208946545
- 4250949112
- 5631308624
- 7459895657
- 9882257736
- 13091204281
- 17342153393
- 22973462017
- 30433357674
- 40315615410
- 53406819691
- 70748973084
- 93722435101
- 124155792775
- 164471408185
- 217878227876
- 288627200960
- 382349636061
- 506505428836
- 670976837021
- 888855064897
How to use the Padovan number checker
The procedure to use the Padovan number checker is as follows:
- Enter the positive integer.
- Click Calculate button to verify whether the input integer is a Padovan number.
- Click the Reset button to start a new verification.
Solved examples using the Padovan number checker
Example 1: Is 200 a Padovan number?
Enter 200 into the input box and click Calculate button, as shown in the figure, 200 is a Padovan number.
Example 2: Is 2030 a Padovan number?
Enter 2030 into the input box and click Calculate button, as shown in the figure, 2030 is not a Padovan number.
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