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A232709 Nonnegative integers such that the sum of digits mod 10 equals the product of digits mod 10. 1

%I #27 Oct 15 2021 20:03:35

%S 0,1,2,3,4,5,6,7,8,9,22,48,84,109,123,132,137,145,154,159,173,178,187,

%T 190,195,208,213,228,231,233,235,237,239,248,253,268,273,280,282,284,

%U 286,288,293,307,312,317,321,323,325,327,329,332,337,347,352,357,367,370,371,372,373,374,375,376,377

%N Nonnegative integers such that the sum of digits mod 10 equals the product of digits mod 10.

%H David A. Corneth, <a href="/A232709/b232709.txt">Table of n, a(n) for n = 1..10000</a>

%e 293 is in the sequence because 2+9+3 = 14 == 4 mod 10 and 2*9*3 = 54 == 4 mod 10.

%t Select[Range[0,400],Mod[Total[IntegerDigits[#]],10]==Mod[Times@@ IntegerDigits[ #],10]&] (* _Harvey P. Dale_, Oct 15 2021 *)

%o (JavaScript)

%o for (i=0;i<1000;i++) {

%o s=i.toString().split("");

%o sl=s.length;

%o c=0;d=1;

%o for (j=0;j<sl;j++) {c+=s[j]*1;d*=s[j];}

%o c%=10;d%=10;

%o if (c==d) document.write(i+", ");

%o }

%o (PARI) is(n) = my(d=digits(n));vecsum(d)%10==vecprod(d)%10 \\ _David A. Corneth_, Oct 15 2021

%o (Python)

%o from math import prod

%o def ok(n): d = list(map(int, str(n))); return sum(d)%10 == prod(d)%10

%o print([k for k in range(378) if ok(k)]) # _Michael S. Branicky_, Oct 15 2021

%Y Cf. A034710.

%K nonn,base

%O 1,3

%A _Jon Perry_, Nov 28 2013

%E Offset changed from 0 to 1 by _N. J. A. Sloane_, Oct 15 2021

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Last modified August 12 19:26 EDT 2024. Contains 375113 sequences. (Running on oeis4.)