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%I #15 Jan 14 2026 15:59:52
%S 80,148,333,925,1813,2450,4477,6253,10693,13357,19573,31117,35557,
%T 62197,68413,81733,103933,128797,137677,166093,186517,197173,230917,
%U 254893,293077,348133,377437,392533,423613,439597,472453,596773,634957,694453,714877,821437,843637,912013,983053,1031893,1185517
%N Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k)^5.
%e 80 is a term since sigma(80) = 186 = 144 + 10 + 2^5 = psi(80) + tau(80) + omega(80)^5.
%o (PARI) isok(k) = {my(f = factor(k)); sigma(f) == prod(i=1, #f~, (f[i, 1]+1) * f[i, 1]^(f[i, 2]-1)) + numdiv(f) + omega(f)^5; } \\ _Amiram Eldar_, Jan 09 2026
%Y Cf. A000203 (sigma), A001615 (psi), A000005 (tau), A001221 (omega), A386637, A392263.
%K nonn
%O 1,1
%A _S. I. Dimitrov_, Jan 09 2026