Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A118563
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A118563 Even transform of Heegner numbers A003173. +0
1
2, 4, 6, 8, 12, 20, 44, 68, 164 (list; graph; listen)
OFFSET

0,1

COMMENT

Using quadratic class fields to produce quadratic like primes these numbers are gap like: Prime[n+1=Prime[n]+a[n] Hendy Polynomials of the type: p[x]=(a[n]-1)*x^2+(a[n]-1)*x+Prime[m] with recursions of: F[n]=F[n-1]+a[n]; F[0]=Prime[m]

FORMULA

a(n) = If[Mod[A003173[n]+1,2]==0,A003173[n]+1 else 2*(A003173[n]+1)]

MATHEMATICA

h = {1, 2, 3, 7, 11, 19, 43, 67, 163} a = Union[Table[If[Mod[h[[n]] + 1, 2] == 0, h[[n]] + 1, 2*(h[[n]] + 1)], {n, 1, Length[h]}]]

CROSSREFS

Cf. A003173.

Sequence in context: A050597 A057335 A126907 this_sequence A164145 A140999 A001217

Adjacent sequences: A118560 A118561 A118562 this_sequence A118564 A118565 A118566

KEYWORD

nonn,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), May 03 2006

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


AT&T Labs Research