The On-Line Encyclopedia of Integer Sequences (OEIS)

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A130710

A designed sequence of primes that seems to be chaotic based on the sum of the sequence with a prime and one: a(n+1)->Abs(a(n)+Prime[n]+1).
(history; published version)

#2 by Russ Cox at Fri Mar 30 17:34:21 EDT 2012

AUTHOR

_Roger L. Bagula (rlbagulatftn(AT)yahoo.com), _, Jul 01 2007

Discussion

Fri Mar 30

17:34

OEIS Server: https://oeis.org/edit/global/158

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

A designed sequence of primes that seems to be chaotic based on the sum of the sequence with a prime and one: a(n+1)->Abs(a(n)+Prime[n]+1).

DATA

2, 7, 13, 11, 7, 3, 13, 5, 17, 11, 19, 17, 23, 19, 31, 41, 37, 43, 53, 47, 71, 59, 61, 97, 103, 113, 79, 137, 101, 139, 151, 157, 173, 137, 199, 149, 211, 223, 173, 227, 181, 197, 263, 199, 211, 283

OFFSET

1,1

FORMULA

a(n) =If Prime Abs[a(n-1)+Prime[n-1]+1]

MATHEMATICA

a[0] = 2; a[1] = 7; a[2] = 13; a[n_] := a[n] = Abs[a[n - 1] - Prime[n - 1] + 1] a0 = Flatten[Table[If[PrimeQ[a[n]], a[n], {}], {n, 0, 100}]]

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jul 01 2007

STATUS

approved