A089960 Positions in A089959 where 4 occurs.

1, 4, 6, 7, 9, 12, 14, 17, 20, 22, 25, 27, 28, 30, 33, 35, 38, 40, 41, 43, 46, 48, 49, 51, 54, 56, 59, 61, 62, 64, 67, 69, 72, 75, 77, 80, 82, 83, 85, 88, 90, 93, 95, 96, 98, 101, 103, 106, 109, 111, 114, 116, 117, 119, 122, 124, 127, 130, 132, 135, 137, 138, 140, 143, 145, 148, 150, 151, 153, 156, 158

Offset

1,2

Comments

a(n)/n tends to 2.

Is the previous comment true? Numerical evidence suggests that a(n)/n tends to sqrt(5). - Jason Yuen, Jan 13 2025

Links

Table of n, a(n) for n=1..71.

Formula

Sequence consists of the positive integers m that generate "4" using the formula of A089959: floor(1/({m*k}*(1 - {m*k}))) where k = 0.6180339... = phi^(-1) and {x} = fractional part.

Example

a(5) = 9 since A089959(9) = 4.

Crossrefs

Cf. A089959, A094214 (1/phi).

Sequence in context: A177688 A190250 A047508 * A067888 A189142 A043337

Adjacent sequences: A089957 A089958 A089959 * A089961 A089962 A089963

Keyword

nonn

Author

Gary W. Adamson, Nov 16 2003

Status

approved