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Padovan Number Checker

Check if the given number is a Padovan number.

Padovan Number Checker is a free online tool used to check if the given number is a Padovan number.

Padovan Number Checker

Eg, Is 114 a Padovan number? Enter 114 into the input box and click Calculate button.

Calculate Reset

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:

  • 1Enter the positive integer.
  • 2Click Calculate button to verify whether the input integer is a Padovan number.
  • 3Click 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.

Is 200 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.

Is 2030 a Padovan number?

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