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

0,3

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

Formula

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

Mathematica

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

Prog

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

Crossrefs

Cf. A010874, A053824, A141803.

Cf. A010060, A053837-A053844.

Sequence in context: A256914 A171171 A159957 * A010883 A011542 A260688

Adjacent sequences: A053837 A053838 A053839 * A053841 A053842 A053843

Keyword

base,nonn

Author

Henry Bottomley, Mar 28 2000

Status

approved