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A194217 a(n) = A104272(n)-A080359(n). 4
0, 8, 4, 10, 10, 4, 6, 6, 0, 24, 0, 4, 18, 36, 12, 10, 6, 0, 36, 36, 34, 0, 0, 12, 0, 10, 24, 18, 34, 0, 14, 0, 22, 0, 0, 10, 0, 0, 18, 24, 0, 4, 60, 48, 10, 0, 0, 0, 0, 28, 24, 0, 0, 0, 16, 36, 36, 6, 8, 12, 36, 10, 0, 0, 24, 0, 22, 54, 30, 0, 14, 12, 18, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: Asymptotic density of nonzero terms is 3/4.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

V. Shevelev, Ramanujan and Labos primes, their generalizations and classifications of primes

J. Sondow, Ramanujan Prime. (MathWorld)

MATHEMATICA

nn = 100;

R = Table[0, {nn}]; s = 0;

Do[If[PrimeQ[k], s++]; If[PrimeQ[k/2], s--]; If[s < nn, R[[s+1]] = k], {k, Prime[3nn]}

];

A104272 = R = R + 1;

T = Table[0, {nn + 1}]; s = 0;

Do[If[PrimeQ[k], s++]; If[PrimeQ[k/2], s--]; If[s <= nn && T[[s+1]] == 0, T[[s+1]] = k], {k, Prime[3nn]}

];

A080359 = Rest[T];

A104272 - A080359 (* Jean-François Alcover, Aug 19 2018, after T. D. Noe *)

CROSSREFS

Cf. A104272, A080359, A193507, A194184, A194186.

Sequence in context: A277781 A254767 A194184 * A239971 A082073 A244209

Adjacent sequences: A194214 A194215 A194216 * A194218 A194219 A194220

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Aug 18 2011

STATUS

approved

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Last modified February 5 02:00 EST 2023. Contains 360082 sequences. (Running on oeis4.)