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A329613 Numbers k such that A071187(k) <> A329614(k). 4

%I #23 Feb 03 2024 10:13:24

%S 324,1296,2500,5625,9604,10000,11664,20736,21609,38416,50625,58564,

%T 60025,82944,90000,114244,131769,160000,194481,234256,236196,250000,

%U 257049,334084,345744,360000,366025,456976,521284,614656,640000,714025,717409,751689,810000,944784,960400,1119364,1172889,1185921,1265625,1327104,1336336

%N Numbers k such that A071187(k) <> A329614(k).

%C All terms are squares; their square roots are in A329611.

%H David A. Corneth, <a href="/A329613/b329613.txt">Table of n, a(n) for n = 1..15072</a> (first 661 terms from Antti Karttunen, terms <= 10^14)

%H David A. Corneth, <a href="/A329613/a329613.gp.txt">PARI program</a>

%o (PARI)

%o A034386(n) = prod(i=1, primepi(n), prime(i));

%o A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) }; \\ From A108951

%o A071187(n) = if(1==n, n, my(f = factor(numdiv(n))); vecmin(f[, 1]));

%o A329614(n) = A071187(A108951(n));

%o k=0; n=0; while(n<2^16, n++; u = n*n; if(A071187(u)!=A329614(u), k++; write("b329613.txt", k, " ", u); print1(u,", ")));

%o (PARI) \\ See link

%Y Subsequence of A000290.

%Y Cf. A055932, A071187, A329611, A329614.

%K nonn

%O 1,1

%A _Antti Karttunen_, Nov 18 2019

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Last modified August 16 21:21 EDT 2024. Contains 375191 sequences. (Running on oeis4.)