cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A157529 Composite numbers whose first digit is equal to the sum of all the other digits.

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%I A157529 #11 Aug 10 2024 15:26:45
%S A157529 22,33,44,55,66,77,88,99,110,202,220,303,312,321,330,404,413,422,440,
%T A157529 505,514,532,550,606,615,624,633,642,651,660,707,716,725,734,752,770,
%U A157529 808,817,826,835,844,862,871,880,909,918,927,936,945,954,963,972,981
%N A157529 Composite numbers whose first digit is equal to the sum of all the other digits.
%H A157529 Harvey P. Dale, <a href="/A157529/b157529.txt">Table of n, a(n) for n = 1..1000</a>
%e A157529 990 is a composite number whose first digit is equal to the sum of all the other digits.
%p A157529 a := proc (n) local nn: nn := convert(n, base, 10): if isprime(n) = false and nn[nops(nn)] = add(nn[j], j = 1 .. nops(nn)-1) then n else end if end proc: seq(a(n), n = 2 .. 1100); # _Emeric Deutsch_, Mar 07 2009
%t A157529 cnfdQ[n_]:=With[{id=IntegerDigits[n]},CompositeQ[n]&&id[[1]]==Total[Rest[id]]]; Select[ Range[1000],cnfdQ] (* _Harvey P. Dale_, Aug 10 2024 *)
%Y A157529 Cf. A002808.
%K A157529 base,nonn
%O A157529 1,1
%A A157529 _Parthasarathy Nambi_, Mar 02 2009
%E A157529 Corrected and extended by _Emeric Deutsch_, Mar 07 2009