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A239427 Numbers such that additive and multiplicative persistences coincide. 4

%I

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,28,29,

%T 30,31,32,33,37,38,40,41,42,46,48,50,51,56,58,60,61,64,65,67,70,71,73,

%U 76,80,81,82,83,84,85,90,92,99,100,101,102,103,104,105,106

%N Numbers such that additive and multiplicative persistences coincide.

%C Numbers n for which A031286(n) = A031346(n).

%H Arkadiusz Wesolowski, <a href="/A239427/b239427.txt">Table of n, a(n) for n = 1..66</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AdditivePersistence.html">Additive Persistence</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MultiplicativePersistence.html">Multiplicative Persistence</a>

%e 28 -> 10 -> 1 has additive persistence 2. 28 -> 16 -> 6 has multiplicative persistence 2. 28 is therefore in the sequence.

%o (PARI) for(n=0, 106, v=n; a=0; while(n>9, a++; n=sumdigits(n)); n=v; m=0; while(n>9, m++; d=digits(n); n=prod(k=1, #d, d[k])); n=v; if(a==m, print1(n, ", ")));

%Y Supersequence of A239480. Cf. A031286, A031346.

%K nonn,base

%O 1,3

%A _Arkadiusz Wesolowski_, Mar 19 2014

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Last modified July 30 19:15 EDT 2021. Contains 346359 sequences. (Running on oeis4.)