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

0,4

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

Formula

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

Mathematica

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

Prog

(Haskell)
a261606 n = a261606_list !! n
a261606_list = 0 : 1 : map (flip mod 60)
                           (zipWith (+) a261606_list $ tail a261606_list)
(PARI) a(n) = fibonacci(n) % 60; \\ Michel Marcus, Jan 22 2022

Crossrefs

Cf. A000045, A261575, A261607, A003893.

Sequence in context: A013987 A261607 A261575 * A261598 A261587 A206139

Adjacent sequences: A261603 A261604 A261605 * A261607 A261608 A261609

Keyword

nonn,base

Author

Reinhard Zumkeller, Sep 09 2015

Status

approved