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A045670 Digital sum (in base 10) of numbers in base 3 of the alternate number system. 3

%I #10 Jan 27 2020 15:14:51

%S 1,2,3,2,3,4,3,4,5,4,5,6,3,4,5,4,5,6,5,6,7,4,5,6,5,6,7,6,7,8,5,6,7,6,

%T 7,8,7,8,9,4,5,6,5,6,7,6,7,8,5,6,7,6,7,8,7,8,9,6,7,8,7,8,9,8,9,10,5,6,

%U 7,6,7,8,7,8,9,6,7,8,7,8,9,8,9,10,7,8,9,8,9,10

%N Digital sum (in base 10) of numbers in base 3 of the alternate number system.

%C The alternate number system has no need for the digit zero.

%D Robert R. Forslund, A Logical Alternative to the Existing Positional Number System, Southwest Journal of Pure and Applied Mathematics. Vol. 1 1995 pp. 27-29.

%H Andrew Howroyd, <a href="/A045670/b045670.txt">Table of n, a(n) for n = 1..10000</a>

%H R. R. Forslund, <a href="http://www.emis.de/journals/SWJPAM/Vol1_1995/rrf01.ps">A logical alternative to the existing positional number system</a>, Southwest Journal of Pure and Applied Mathematics, 1995 Vol. 1.

%H R. R. Forslund, <a href="http://my.tbaytel.net/~forslund/index.html">Positive Integer Pages</a>

%H EMIS, <a href="http://www.emis.de/journals/SWJPAM/vol1-95.html">Mirror site for Southwest Journal of Pure and Applied Mathematics</a>

%F a(n) = A007953(A007932(n)). - _Andrew Howroyd_, Jan 27 2020

%o (PARI) a(n)={my(k=3); while(n>k, n-=k; k*=3); my(d=digits(n+k-1,3)); vecsum(d) + #d - 2} \\ _Andrew Howroyd_, Jan 27 2020

%Y Cf. A007931, A007932, A007953.

%K base,nonn

%O 1,2

%A Bob Forslund (forslund(AT)tbaytel.net)

%E Terms a(25) and beyond from _Andrew Howroyd_, Jan 27 2020

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)