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A163963 First differences of A080735 13
1, 2, 1, 5, 1, 11, 1, 23, 1, 47, 1, 1, 1, 97, 1, 1, 1, 197, 1, 1, 1, 397, 1, 1, 1, 797, 1, 1, 1, 1597, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3203, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6421, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12853, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 25717, 1, 1, 1, 51437, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Ignoring the 1 terms we obtain A055496. If we consider sequences A_i={a_i(n)}, i=1,2,... with the same constructions as A080735, but with initials a_1(1)=2, a_2(1)=3, a_3(1)=13,..., a_m(1)=A080359(m),..., then the union of A_1,A_2,... contains all primes.

LINKS

Table of n, a(n) for n=1..87.

MAPLE

A080735 := proc(n) option remember; local p ; if n = 1 then 1; else p := procname(n-1) ; if isprime(p) then 2*p; else p+1 ; end if; end if; end proc: A163963 := proc(n) A080735(n+1)-A080735(n) ; end: seq(A163963(n), n=1..100) ; [From R. J. Mathar, Nov 05 2009]

CROSSREFS

Cf. A116533 A163961 A080735 A006992 A055496 A080359 A104272 A106108 A132199

Sequence in context: A115123 A132081 A054251 * A119763 A092142 A173108

Adjacent sequences:  A163960 A163961 A163962 * A163964 A163965 A163966

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Aug 07 2009

EXTENSIONS

More terms from R. J. Mathar, Nov 05 2009

STATUS

approved

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Last modified April 20 06:17 EDT 2014. Contains 240779 sequences.