

A286467


Compound filter (prime signature of n & prime signature of the nth Fibonacci number): a(n) = P(A101296(n), A286545(n)), where P(n,k) is sequence A000027 used as a pairing function.


4



1, 3, 5, 9, 5, 19, 5, 33, 18, 25, 5, 51, 5, 25, 40, 73, 5, 72, 12, 84, 40, 25, 5, 128, 69, 25, 71, 84, 5, 180, 12, 146, 40, 25, 40, 242, 23, 40, 40, 198, 12, 180, 5, 177, 177, 40, 5, 337, 31, 216, 40, 84, 12, 284, 59, 308, 140, 40, 12, 478, 12, 40, 177, 339, 40, 180, 23, 177, 140, 387, 12, 610, 12, 59, 216, 177, 59, 309, 12, 540, 332, 40, 5, 608, 59, 40, 59
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OFFSET

1,2


COMMENTS

Nonsquare semiprimes pq for which F(pq) is also a semiprime is given by the positions where 25's occur in this sequence: 10, 14, 22, 26, 34, 94, (any more terms?). This is a subsequence of A072381.


LINKS

Antti Karttunen, Table of n, a(n) for n = 1..1300 (based also on the bfile of A278245 provided by Hans Havermann)


FORMULA

a(n) = (1/2)*(2 + ((A101296(n) + A286545(n))^2)  A101296(n)  3*A286545(n)).


PROG

(Scheme) (define (A286467 n) (* (/ 1 2) (+ (expt (+ (A101296 n) (A286545 n)) 2) ( (A101296 n)) ( (* 3 (A286545 n))) 2)))


CROSSREFS

Cf. A000027, A046523, A072381, A101296, A278245, A286545.
Cf. A083668 (positions of 5's).
Sequence in context: A076844 A198558 A286566 * A231736 A212437 A048639
Adjacent sequences: A286464 A286465 A286466 * A286468 A286469 A286470


KEYWORD

nonn


AUTHOR

Antti Karttunen, May 17 2017


STATUS

approved



