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A153776 Sequence S such that 1 is in S and if x is in S, then 5x-3 and 5x-1 are in S. 2
1, 2, 4, 7, 9, 17, 19, 32, 34, 42, 44, 82, 84, 92, 94, 157, 159, 167, 169, 207, 209, 217, 219, 407, 409, 417, 419, 457, 459, 467, 469, 782, 784, 792, 794, 832, 834, 842, 844, 1032, 1034, 1042, 1044, 1082, 1084, 1092, 1094, 2032, 2034, 2042, 2044, 2082, 2084 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Subsequences include A047850, A083065.

First generation: 1

2nd generation: 2, 4

3rd generation: 7, 9, 17, 19

4th generation: 32, 34, 42, 44, 82, 84, 92, 94

Does every generation contain p or 2p for some prime p?

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

MATHEMATICA

nxt[n_] := Flatten[5 # + {-3, -1} & /@ n]; Union[Flatten[NestList[nxt, {1}, 5]]] (* G. C. Greubel, Aug 28 2016 *)

CROSSREFS

Cf. A047850, A083065, A153773, A153775.

Sequence in context: A257064 A085800 A155190 * A005625 A067785 A059186

Adjacent sequences:  A153773 A153774 A153775 * A153777 A153778 A153779

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 02 2009

STATUS

approved

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Last modified July 23 20:32 EDT 2019. Contains 325264 sequences. (Running on oeis4.)