A105448 Positive integers whose representation as Roman Fibonacci numbers has exactly three symbols.

17, 25, 27, 28, 30, 38, 40, 41, 43, 44, 45, 46, 48, 49, 51, 59, 61, 62, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 82, 83, 85, 93, 95, 96, 98, 99, 100, 101, 103, 104, 105, 107, 108, 109, 111, 112, 113, 115, 118, 124, 125, 126, 128, 132, 133, 134, 136, 140

Offset

1,1

Comments

A105446 gives the number of symbols in Roman Fibonacci numbers. A105447 gives positive integers whose representation as Roman Fibonacci numbers has exactly two symbols. A105449 gives positive integers whose representation as Roman Fibonacci numbers has exactly four symbols. A105450 gives positive integers whose representation as Roman Fibonacci numbers has exactly five symbols.

Links

Table of n, a(n) for n=1..62.

Formula

a(n) is an element of A105447 iff A105446(n) = 3.

Example

In Roman Fibonacci number representation:
17 = "A22", 25 = "B22", 27 = "AA1", 28 = "AA2", 30 = "B81", 38 = "C22", 40 = "C33", 41 = "C52", 43 = "BB1", 44 = "BB2", 45 = "BB3", 46 = "1CA", 48 = "CA1", ..., 155 = "2FA", 156 = "1FA", 158 = "FA1", 159 = "FA2", 160 = "FA3".

Crossrefs

Cf. A000045, A006968, A105446, A105447, A105449-A105455.

Sequence in context: A051780 A124971 A272635 * A336007 A082130 A140609

Adjacent sequences: A105445 A105446 A105447 * A105449 A105450 A105451

Keyword

base,easy,nonn

Author

Jonathan Vos Post, Apr 09 2005

Status

approved