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A113244 Prime differences of tetranacci numbers. 4
2, 3, 7, 11, 13, 41, 79, 107, 179, 193, 293, 397, 769, 1489, 2099, 2843, 2857, 5507, 5521, 9181, 10463, 10663, 10667, 19079, 39619, 76423, 126743, 146539, 147283, 147311, 281081, 283949, 547229, 771073, 3919171, 3919543, 3919943, 7555879, 7555927, 10644589, 14564477 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A113188-A113194 deal with difference sets of Fibonacci numbers and Lucas numbers and primes in those difference sets. A113238-A113239 deal with the difference set of tribonacci numbers and primes in that difference set.

LINKS

Table of n, a(n) for n=1..41.

FORMULA

{a(n)} = intersection of A000040 and A113243. {a(n)} = primes in the difference set of tetranacci sequence A000078, excluding prime tetranacci numbers A104535.

EXAMPLE

a(1) = 2 because 4 - 2 = 2 where 4 and 2 are tetranacci numbers.

a(2) = 3 because 4 - 1 = 3 where 4 and 1 are tetranacci numbers.

a(3) = 7 because 8 - 1 = 7 where 8 and 1 are tetranacci numbers.

a(4) = 11 because 15 - 4 = 11 where 15 and 4 are tetranacci numbers.

a(5) = 13 because 15 - 2 = 13 where 15 and 2 are tetranacci numbers.

MAPLE

isA113244 := proc(n)

    isprime(n) and isA113243(n) ;

end proc:

for n from 1 do

    p := ithprime(n) ;

    if isA113244(p) then

        printf("%d\n", p) ;

    end if;

end do: # R. J. Mathar, Oct 04 2014

CROSSREFS

Cf. A000040, A000078, A113188-A113194, A113238, A113239, A113243.

Sequence in context: A233769 A038895 A291657 * A040152 A323353 A188529

Adjacent sequences:  A113241 A113242 A113243 * A113245 A113246 A113247

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Oct 19 2005; corrected Oct 20 2005

EXTENSIONS

281081 inserted by R. J. Mathar, Oct 04 2014

STATUS

approved

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Last modified January 28 00:32 EST 2020. Contains 331313 sequences. (Running on oeis4.)