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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.

A187042 Numbers the expansion of which over distinct terms of A050376 contains the same number of primes and perfect squares.

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%I A187042 #24 Nov 30 2024 06:24:06
%S A187042 8,12,18,20,27,28,32,44,45,48,50,52,63,68,75,76,80,92,98,99,112,116,
%T A187042 117,124,125,147,148,153,162,164,171,172,175,176,188,207,208,212,216,
%U A187042 236,242,243,244,245,261,268,272,275,279,284,292,304,316,325,332,333,338
%N A187042 Numbers the expansion of which over distinct terms of A050376 contains the same number of primes and perfect squares.
%C A187042 The sequence does not contain squarefree numbers or perfect squares.
%C A187042 Initially the sequence matches A378494 (the intersection of A000379 and A026424). The first differences are the absence here of 120 and 168 and the inclusion here of 216. - _Peter Munn_, Jul 13 2024 (edited by _Paolo Xausa_, Nov 29 2024).
%H A187042 Amiram Eldar, <a href="/A187042/b187042.txt">Table of n, a(n) for n = 1..10000</a>
%e A187042 147 and 216 are in the sequence, since their expansions over distinct terms of A050376 are 3*49 and 2*3*4*9 respectively. Thus the expansion of 147 contains one prime and one perfect square, while the expansion of 216 contains two primes and two perfect squares.
%t A187042 aQ[n_] := Total @ (d = IntegerDigits[Last /@ FactorInteger[n], 2])[[;; , -1]] == Total @ Flatten @d / 2; Select[Range[350], aQ] (* _Amiram Eldar_, Oct 01 2019 *)
%Y A187042 Cf. A050376, A187039, A378494.
%K A187042 nonn
%O A187042 1,1
%A A187042 _Vladimir Shevelev_, Mar 02 2011
%E A187042 a(28)=153 inserted and more terms added by _Amiram Eldar_, Oct 01 2019