A084532 Signature sequence of 1/phi = phi-1 = (sqrt(5)-1)/2 = 0.61803...

1, 1, 2, 1, 2, 1, 3, 2, 1, 3, 2, 4, 1, 3, 2, 4, 1, 3, 5, 2, 4, 1, 3, 5, 2, 4, 1, 6, 3, 5, 2, 4, 1, 6, 3, 5, 2, 7, 4, 1, 6, 3, 5, 2, 7, 4, 1, 6, 3, 8, 5, 2, 7, 4, 1, 6, 3, 8, 5, 2, 7, 4, 9, 1, 6, 3, 8, 5, 2, 7, 4, 9, 1, 6, 3, 8, 5, 10, 2, 7, 4, 9, 1, 6, 3, 8, 5, 10, 2, 7, 4, 9, 1, 6, 11, 3, 8, 5, 10, 2, 7, 4, 9

Offset: 1

Author

Henry Bottomley, May 28 2003

Keywords

• nonn

Comments

Arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x; the sequence of j's is the signature of 1/x.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• Casey Mongoven, Sonification of multiple Fibonacci-related sequences, Annales Mathematicae et Informaticae, 41 (2013) pp. 175-192.
• Index entries for sequences related to signature sequences

Crossrefs

Cf. A084531.

Formula

a(A054347(n) + A255977(m) + m*n) = n - 1. - Alan Michael Gómez Calderón, Dec 09 2024