A261607 Initial digit of Fibonacci number F(n) in base 60.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 1, 2, 3, 6, 10, 16, 26, 43, 1, 1, 3, 4, 7, 12, 20, 33, 54, 1, 2, 3, 6, 10, 16, 26, 42, 1, 1, 3, 4, 7, 12, 20, 33, 54, 1, 2, 3, 6, 10, 16, 26, 42, 1, 1, 2, 4, 7, 12, 20, 33, 53, 1, 2, 3, 6, 9, 16, 25, 42, 1, 1, 2, 4, 7, 12

Offset

0,4

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (first 1001 terms from Reinhard Zumkeller)

Eric Weisstein's World of Mathematics, Sexagesimal.

Wikipedia, Sexagesimal.

Formula

a(n) = A261575(n, A261585(n)-1).

Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = Sum_{d=1..59} d*log(1+1/d)/log(60) = 13.92958... . - Amiram Eldar, Jan 12 2023

Mathematica

IntegerDigits[Fibonacci[Range[0, 75]], 60][[All, 1]] (* Michael De Vlieger, Jan 22 2022 *)

Prog

(Haskell)
a261607 = last . a261575_row
(PARI) a(n) = if (n, digits(fibonacci(n), 60)[1], 0); \\ Michel Marcus, Jan 22 2022

Crossrefs

Cf. A000045, A261575, A261585, A261606, A008963.

Sequence in context: A023439 A147660 A013987 * A261575 A261606 A261598

Adjacent sequences: A261604 A261605 A261606 * A261608 A261609 A261610

Keyword

nonn,look,base

Author

Reinhard Zumkeller, Sep 09 2015

Status

approved