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A215092 a(n) = Sum_{i=0..m} d(i)*3^i, where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n. 1

%I #13 Sep 08 2022 08:46:03

%S 1,2,3,4,5,3,4,5,6,7,8,6,7,8,9,10,11,9,10,11,12,13,14,12,13,14,15,16,

%T 17,15,16,17,18,19,20,9,10,11,12,13,14,12,13,14,15,16,17,15,16,17,18,

%U 19,20,18,19,20,21,22,23,21,22,23,24,25,26,24,25,26,27,28,29,18

%N a(n) = Sum_{i=0..m} d(i)*3^i, where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n.

%H Clark Kimberling, <a href="/A215092/b215092.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = 3*a(n/6) if n == 0 (mod 6); otherwise a(n) = a(n-1)+1.

%t Table[FromDigits[RealDigits[n, 6], 3], {n, 0, 100}]

%o (Magma) [n eq 1 select 1 else n mod 6 eq 0 select 3*Self(n div 6) else Self(n-1)+1: n in [1..72]]; // _Bruno Berselli_, Jan 25 2018

%Y Cf. A037454.

%K nonn,base,easy

%O 1,2

%A _Clark Kimberling_, Aug 13 2012

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Last modified August 18 23:41 EDT 2024. Contains 375284 sequences. (Running on oeis4.)