A053840 (Sum of digits of n written in base 5) modulo 5.

0, 1, 2, 3, 4, 1, 2, 3, 4, 0, 2, 3, 4, 0, 1, 3, 4, 0, 1, 2, 4, 0, 1, 2, 3, 1, 2, 3, 4, 0, 2, 3, 4, 0, 1, 3, 4, 0, 1, 2, 4, 0, 1, 2, 3, 0, 1, 2, 3, 4, 2, 3, 4, 0, 1, 3, 4, 0, 1, 2, 4, 0, 1, 2, 3, 0, 1, 2, 3, 4, 1, 2, 3, 4, 0, 3, 4, 0, 1, 2, 4, 0, 1, 2, 3, 0, 1, 2, 3, 4, 1, 2, 3, 4, 0, 2, 3, 4, 0, 1, 4, 0, 1, 2, 3

Offset: 0

Author

Henry Bottomley, Mar 28 2000

Keywords

• base
• nonn

Comments

a(n) is the fourth row of the array in A141803. - Andrey Zabolotskiy, May 16 2016

Links

• Michael De Vlieger, Table of n, a(n) for n = 0..10000
• Glen Joyce C. Dulatre, Jamilah V. Alarcon, Vhenedict M. Florida and Daisy Ann A. Disu, On Fractal Sequences, DMMMSU-CAS Science Monitor (2016-2017) Vol. 15 No. 2, 109-113.
• Robert Walker, Self Similar Sloth Canon Number Sequences

Crossrefs

Cf. A010874, A053824, A141803.

Cf. A010060, A053837-A053844.

Programs

Mathematica

Mod[Total@ IntegerDigits[#, 5], 5] & /@ Range[0, 120] (* Michael De Vlieger, May 17 2016 *)

PARI

a(n) = vecsum(digits(n,5)) % 5; \\ Michel Marcus, May 16 2016

Formula

a(n) = A010874(A053824(n)). - Andrey Zabolotskiy, May 18 2016