A392384 Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k)^6.

184, 459, 1375, 6655, 14739, 24334

Offset

1,1

Links

Table of n, a(n) for n=1..6.

Example

184 is a term since sigma(184) = 360 = 288 + 8 + 2^6 = psi(184) + tau(184) + omega(184)^6.

Prog

(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)^6; } \\ Amiram Eldar, Jan 09 2026

Crossrefs

Cf. A000203 (sigma), A001615 (psi), A000005 (tau), A001221 (omega), A386637, A392263, A391447.

Sequence in context: A061657 A217301 A394738 * A351278 A239457 A235258

Adjacent sequences: A392381 A392382 A392383 * A392385 A392386 A392387

Keyword

nonn,hard,more

Author

S. I. Dimitrov, Jan 09 2026

Status

approved