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%I #17 Apr 21 2024 14:29:25
%S 161,198,1701,604755,629810,4354506,100018736,411505847,
%T 14869757951891,2239397044538572646,40766979086355529727820,
%U 6289762487609138872319999999757
%N Numbers k>0 such that k = |(product of nonzero digits of k^2) - (sum of digits of k^2)|.
%C Most often P-S is strictly positive but to always have an application of N* in N* we prefer to use |P-S| (cf. Clerc).
%H René-Louis Clerc, <a href="https://hal.science/hal-04507547">Nombres S+P, maxSP, minSP et |P-S|</a>, pp. 1-15, 2024.
%e 1701^2 = 2893401, |(2*8*9*3*4*1) - (2+8+9+3+4+1)| = 1728 - 27 = 1701.
%o (PARI) SmP(k,r)=my(d=select(x->(x>0),digits(k^r))); abs(vecsum(d)- vecprod(d)) == k;
%o resuSmP(p,r)={for(k=1,10^p,if(SmP(k,r)==1, print1(k,";")))}
%Y Cf. A038364, A061763.
%K nonn,base,more
%O 1,1
%A _René-Louis Clerc_, Mar 19 2024
%E a(9)-a(12) from _Chai Wah Wu_, Apr 20 2024