A053842 (Sum of digits of n written in base 7) modulo 7.

0, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 0, 2, 3, 4, 5, 6, 0, 1, 3, 4, 5, 6, 0, 1, 2, 4, 5, 6, 0, 1, 2, 3, 5, 6, 0, 1, 2, 3, 4, 6, 0, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 0, 2, 3, 4, 5, 6, 0, 1, 3, 4, 5, 6, 0, 1, 2, 4, 5, 6, 0, 1, 2, 3, 5, 6, 0, 1, 2, 3, 4, 6, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 0, 1

Offset

0,3

Comments

a(n) is the sixth row of the array in A141803. - Andrey Zabolotskiy, May 18 2016

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

Robert Walker, Self Similar Sloth Canon Number Sequences

Formula

a(n) = A010876(A053828(n)). - Andrey Zabolotskiy, May 18 2016

Mathematica

Table[Mod[Plus @@ IntegerDigits[n, 7], 7], {n, 0, 50}] (* G. C. Greubel, Nov 02 2017 *)

Prog

(PARI) a(n) = vecsum(digits(n, 7)) % 7; \\ Michel Marcus, May 18 2016

Crossrefs

Cf. A010876, A053828, A141803.

Cf. A010060, A053837-A053844.

Sequence in context: A277545 A190596 A338880 * A010885 A338480 A234533

Adjacent sequences: A053839 A053840 A053841 * A053843 A053844 A053845

Keyword

base,nonn

Author

Henry Bottomley, Mar 28 2000

Status

approved