A Padovan prime is a Padovan number that is prime. The first Padovan primes are:
2, 3, 5, 7, 37, 151, 3329, 23833, 13091204281, 3093215881333057, 1363005552434666078217421284621279933627102780881053358473, 1558877695141608507751098941899265975115403618621811951868598809164180630185566719, ... (sequence A100891 in the OEIS).
Spiral of equilateral triangles with side lengths which follow the Padovan sequence.
The Padovan sequence is named after Richard Padovan who attributed its discovery to Dutch architect Hans van der Laan in his 1994 essay Dom. Hans van der Laan : Modern Primitive.[2] The sequence was described by Ian Stewart in his Scientific American column Mathematical Recreations in June 1996.[3] He also writes about it in one of his books, "Math Hysteria: Fun Games With Mathematics".
[4]
The above definition is the one given by Ian Stewart and by MathWorld. Other sources may start the sequence at a different place, in which case some of the identities in this article must be adjusted with appropriate offsets.
^Weisstein, Eric W. "Padovan Sequence". MathWorld..
^Richard Padovan. Dom Hans van der Laan: modern primitive: Architectura & Natura Press, ISBN 9789071570407.
^Ian Stewart, Tales of a Neglected Number, Scientific American, No. 6, June 1996, pp. 92-93.
^Ian Stewart (2004), Math hysteria: fun and games with mathematics, Oxford University Press, p. 87, ISBN 978-0-19-861336-7.
In number theory, the Padovansequence is the sequence of integers P(n) defined by the initial values P ( 0 ) = P ( 1 ) = P ( 2 ) = 1 , {\displaystyle...
value x, the result is the sequence of Fibonacci polynomials. Not adding the immediately preceding numbers. The Padovansequence and Perrin numbers have...
London: European Architectural History Network. Plastic rectangle and Padovansequence at Tartapelago by Giorgio Pietrocola. The digital study room of Dom...
Padovansequence is generated by the recurrence P ( n ) = P ( n − 2 ) + P ( n − 3 ) {\displaystyle P(n)=P(n-2)+P(n-3)} . The Narayana's cows sequence...
Richard Padovan (born 1935), English architect, writer and translator Stefano Padovan (born 1994), Italian footballer Padovansequence, integer sequence This...
constant-recursive integer sequence with characteristic equation x3 = x + 1. The Perrin numbers bear the same relationship to the Padovansequence as the Lucas numbers...
is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to OEIS...
Birkhäuser. ISBN 3-7643-2648-4. Sloane, N. J. A. (ed.). "Sequence A000931 (Padovansequence (or Padovan numbers): a(n) is a(n-2) + a(n-3) with a(0) equal to...
consolidated theories. Integer sequence Fibonacci sequence Golden mean base Fibonacci coding Lucas sequencePadovansequence Figurate numbers Polygonal number...
the age of three onwards. The Narayana sequence has a close connection to the Fibonacci and Padovansequences and plays an important role in data coding...
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