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A064544 Biquanimous numbers (or biquams): group the digits into two pieces (not necessarily equal or in order) with the same sum. 9

%I #14 Mar 11 2021 18:27:38

%S 0,11,22,33,44,55,66,77,88,99,101,110,112,121,123,132,134,143,145,154,

%T 156,165,167,176,178,187,189,198,202,211,213,220,224,231,235,242,246,

%U 253,257,264,268,275,279,286,297,303,312,314,321,325,330,336,341,347,352,358

%N Biquanimous numbers (or biquams): group the digits into two pieces (not necessarily equal or in order) with the same sum.

%C This sequence is 10-automatic (decimal expansions form a regular language accepted by a finite automaton).

%H Rémy Sigrist, <a href="/A064544/b064544.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Ar#10-automatic">Index entries for 10-automatic sequences</a>.

%e 143 is in the sequence because its digits {1, 4, 3} may be grouped so that 1+3 = 4.

%o (PARI) is(n) = { my (d=digits(n), s=[0]); for (k=1, #d, s=setunion(apply(v -> v+d[k], s), apply(v -> v-d[k], s))); setsearch(s, 0)>0 } \\ _Rémy Sigrist_, Jan 23 2021

%Y Cf. A064671, A064686 (number of n-digit base-3 biquams), A065023, A065024, A065025.

%K base,easy,nonn

%O 0,2

%A _David W. Wilson_, Oct 09 2001

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)