A153776 - OEIS

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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.

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