A261606 a(n) = Fibonacci(n) mod 60.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 29, 24, 53, 17, 10, 27, 37, 4, 41, 45, 26, 11, 37, 48, 25, 13, 38, 51, 29, 20, 49, 9, 58, 7, 5, 12, 17, 29, 46, 15, 1, 16, 17, 33, 50, 23, 13, 36, 49, 25, 14, 39, 53, 32, 25, 57, 22, 19, 41, 0, 41, 41, 22, 3, 25, 28, 53

Offset: 0

Author

Reinhard Zumkeller, Sep 09 2015

Keywords

• nonn
• base

Comments

a(n) = A261575(n,0).

Periodic with period length 120. - Ray Chandler, Sep 23 2015

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Sexagesimal
• Wikipedia, Sexagesimal

Crossrefs

Cf. A000045, A261575, A261607, A003893.

Programs

Haskell

a261606 n = a261606_list !! n
a261606_list = 0 : 1 : map (flip mod 60)
                           (zipWith (+) a261606_list $ tail a261606_list)

Mathematica

Mod[Fibonacci[Range[67]], 60] (* Michael De Vlieger, Jan 22 2022 *)

PARI

a(n) = fibonacci(n) % 60; \\ Michel Marcus, Jan 22 2022

Formula

a(0) = 0, a(1) = 1 and for n > 1: a(n) = (a(n-1) + a(n-2)) mod 60.