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A138758 Index of A001203(n) (continued fraction for pi) in A000040 (primes), or 0 if A001203(n) is not prime. +0
4
2, 4, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 6, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 3, 0, 0, 0, 0, 0, 4, 0, 1, 2, 4, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 3, 0, 0, 1 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = A000720(A001203(n)) * A010051(A001203(n))

EXAMPLE

This sequence starts 2,4,0,0,... since the 1st and 2nd terms of the continued fraction expansion of Pi, A001203 = (3, 7, 15, 1,...) are the 2nd resp. 4th primes, while the next two terms are not primes.

PROGRAM

(PARI) default(realprecision, 1000); t=contfrac(Pi); vector(#t, i, isprime(t[i])*primepi(t[i]))

CROSSREFS

Cf. A001203, A138757, A138759, A005042.

Sequence in context: A139627 A166926 A028573 this_sequence A107501 A126732 A028586

Adjacent sequences: A138755 A138756 A138757 this_sequence A138759 A138760 A138761

KEYWORD

nonn

AUTHOR

M. F. Hasler (www.univ-ag.fr/~mhasler), Mar 31 2008

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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