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A134440 a(0)=1; for n > 0, a(n) = a(n-1)+ p(n) if a(n-1) is odd, else a(n) = a(n-1)/2. Here p(n) is n-th prime numbe. +0
1
1, 3, 6, 3, 10, 5, 18, 9, 28, 14, 7, 38, 19, 60, 30, 15, 68, 34, 17, 84, 42, 21, 100, 50, 25, 122, 61, 164, 82, 41, 154, 77, 208, 104, 52, 26, 13, 170, 85, 252, 126, 63, 244, 122, 61, 258, 129, 340, 170, 85, 314, 157, 396, 198, 99, 356, 178, 89, 360, 180, 90, 45 (list; graph; listen)
OFFSET

1,2

COMMENT

LFSR with primes.

Is it true that Lim a(n)/p(n) < square root(3)?

REFERENCES

T. Herlestam,On functions of linear shift register sequences. Springer Lecture notes in computer sciences, ISBN 978-3-540-16468-5.

LINKS

Schmidt, Georg; and Sidorenko, Vladimir R., Linear Shift-Register Synthesis for Multiple Sequences of Varying Length

Boaz Tsaban and Uzi Vishne, Efficient linear feedback shift registers with maximal period

CROSSREFS

Cf. A000040, A135287.

Sequence in context: A065231 A019918 A055373 this_sequence A129529 A128503 A120906

Adjacent sequences: A134437 A134438 A134439 this_sequence A134441 A134442 A134443

KEYWORD

nonn

AUTHOR

Ctibor O. ZIZKA (ctibor.zizka(AT)seznam.cz), Jan 18 2008

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Last modified August 28 22:44 EDT 2008. Contains 143251 sequences.


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