A109654 Primes A000040(i) such that A003849(i-1) = 1.

3, 11, 17, 29, 41, 47, 61, 71, 83, 101, 107, 127, 139, 151, 167, 179, 193, 211, 227, 239, 251, 269, 281, 293, 313, 337, 349, 367, 379, 397, 419, 431, 443, 461, 467, 491, 503, 523, 557, 569, 587, 599, 613, 631, 643, 659, 677, 691, 719, 733, 751, 769, 787, 811, 823, 839, 859, 877, 887

Offset: 1

Author

E.J.P. Vening, Aug 05 2005

Keywords

• nonn
• easy
• less

Comments

Original sequence name: Primes aligned with instances of '1' in the infinite Fibonacci word sequence A003849.

Crossrefs

Cf. A003849.

Programs

PARI

a(n) = prime(floor(n*((sqrt(5)+1)/2)^2)) /* Georg Fischer, Sep 21 2024 */

Formula

a(n) = A000040(A003622(n) + 1) = prime(floor(n*phi^2)), where phi = (1+sqrt(5))/2 is the golden ration. - Charles R Greathouse IV and Danny Rorabaugh, Apr 21 2015

Extensions

Name clarified by Danny Rorabaugh, Apr 19 2015

a(21)=251 inserted and more terms from Georg Fischer, Sep 21 2024