|
| |
|
|
A100891
|
|
Prime Padovan numbers.
|
|
1
| |
|
|
2, 3, 5, 7, 37, 151, 3329, 23833, 13091204281, 3093215881333057, 1363005552434666078217421284621279933627102780881053358473, 1558877695141608507751098941899265975115403618621811951868598809164180630185566719
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Next term corresponds to Padovan(1262) and has 154 decimal digits
|
|
|
REFERENCES
| Midhat J. Gazale, "Gnomon: From Pharoahs to Fractals", Princeton University Press, 1999
|
|
|
LINKS
| Ian Stewart, Tales of a Neglected Number.
Eric Weisstein's World of Mathematics, Padovan Sequence
|
|
|
FORMULA
| a[0]=a[1]=a[2]=1; a[3]=a[4]=2; a[n]=a[n-2]+a[n-3]; a[n] is prime;
|
|
|
MAPLE
| { u=v=w=1; x=2; for (k=1, 1000, y = v+w; u = v; v = w; w = x; x = y; if (isprime(y), print(k " " y), ); ) }
|
|
|
MATHEMATICA
| a[0] = 1; a[1] = a[2] = 0; a[n_] := a[n] = a[n - 2] + a[n - 3]; a /@ Select[ Range[1000], PrimeQ[ a[ # ]] &] (from Robert G. Wilson v Jan 14 2005)
|
|
|
CROSSREFS
| Cf. A000931.
Indices of prime Padovan numbers are A112882.
Sequence in context: A117639 A202263 A153014 * A051857 A050654 A110363
Adjacent sequences: A100888 A100889 A100890 * A100892 A100893 A100894
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| John Lien (jtlien(AT)sbcglobal.net), Jan 10 2005
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 14 2005
|
| |
|
|
