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A053842 (Sum of digits of n written in base 7) modulo 7. 1

%I #21 Dec 21 2021 10:15:30

%S 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,

%T 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,

%U 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

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

%C a(n) is the sixth row of the array in A141803. - _Andrey Zabolotskiy_, May 18 2016

%H G. C. Greubel, <a href="/A053842/b053842.txt">Table of n, a(n) for n = 0..5000</a>

%H Robert Walker, <a href="http://robertinventor.com/ftswiki/Self_Similar_Sloth_Canon_Number_Sequences">Self Similar Sloth Canon Number Sequences</a>

%F a(n) = A010876(A053828(n)). - _Andrey Zabolotskiy_, May 18 2016

%t Table[Mod[Plus @@ IntegerDigits[n, 7], 7], {n, 0, 50}] (* _G. C. Greubel_, Nov 02 2017 *)

%o (PARI) a(n) = vecsum(digits(n, 7)) % 7; \\ _Michel Marcus_, May 18 2016

%Y Cf. A010060.

%K base,nonn

%O 0,3

%A _Henry Bottomley_, Mar 28 2000

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Last modified April 19 16:08 EDT 2024. Contains 371794 sequences. (Running on oeis4.)