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Not to be confused with trintar, or terintar.

Tarintar is equal to $$\underbrace{Tar(Tar(\cdots(Tar)\cdots))}_{Tar\text{ pairs of brackets}}$$ where $$Tar(n) = f_{\underbrace{C(C(\cdots(C(C(\Omega_{n}2,0),0),\cdots ),0)}_{n\text{ C's}}}(n)$$ and Tar = Tar(10) = Dekotar, using the fast-growing hierarchy with fundamental sequences for Taranovsky's notation.[1] The term was coined by wiki user Denis Maksudov. It is believed to be the currently largest number which he has ever coined, while it has never been verified. See the article on Taranovsky's C for the issue of the well-definedness.

## Etymology

The 3 parts of the name, "tar", "in" and "tar", mean Tar = Dekotar, the "in-" operation and Tar function (from Taranovsky's notation) respectively, which form $$\underbrace{Tar(Tar(\cdots(Tar)\cdots))}_{Tar\text{ pairs of brackets}}$$ when concatenated backwards. So the full name indicates how the number is constructed.

## Sources

Numbers by Denis Maksudov
Alpha series
Epsilon series
Epsilon(0)-multiplication series: Bultep · Trultep · Quadrultep · Quintultep · Sextultep · Septultep · Octultep · Nonultep · Dekultep · Hektultep · Kilultep · Megultep · Gigultep · Terultep · Petultep · Exultep · Zettultep · Yottultep
Epsilon(0)-exponentiation series: Bexep · Trexep · Quadrexep · Quintexep · Sextexep · Septexep · Octexep · Nonexep · Dekexep · Hektexep · Kilexep · Megexep · Gigexep · Terexep · Petexep · Exexep · Zettexep · Yottexep
Epsilon(0)-tetration series: Bitetrep · Tritetrep · Quadritetrep · Quintitetrep · Sextitetrep · Septitetrep · Octitetrep · Nonitetrep · Dekotetrep · Hektotetrep · Kilotetrep · Megotetrep · Gigotetrep · Terotetrep · Petotetrep · Exotetrep · Zettotetrep · Yottotetrep
Inserted epsilon series: Uninep · Binep · Trinep · Quadrinep · Quintinep · Sextinep · Septinep · Octinep · Noninep · Dekinep · Hektinep · Kilinep · Meginep · Giginep · Terinep · Petinep · Exinep · Zettinep · Yottinep
Inserted zeta series
Inserted eta series
Phi series
Inserted gamma series
Theta series
Psi series
$$I_\alpha$$ series
$$I(\alpha,\beta)$$ series
Initial $$I(\alpha,\beta)$$ series: Unimah · Bimah · Trimah · Quadrimah · Quintimah · Sextimah · Septimah · Octimah · Nonimah · Dekimah · Hektimah · Kilimah · Megimah · Gigimah · Terimah · Petimah · Eximah · Zettimah · Yottimah
Inserted $$I(\alpha,\beta)$$ series: Uninimah · Binimah · Trinimah · Quadrinimah · Quintinimah · Sextinimah · Septinimah · Octinimah · Noninimah · Dekinimah · Hektinimah · Kilinimah · Meginimah · Giginimah · Terinimah · Petinimah · Exinimah · Zettinimah · Yottinimah
M-series
Tar series

Initial tar series: Tritar · Quadritar · Quintitar · Sextitar · Septitar · Octitar · Nonitar · Dekotar · Hektotar · Kilotar · Megotar · Gigotar · Terotar · Petotar · Exotar · Zettotar · Yottotar
Inserted tar series: Unintar · Bintar · Trintar · Quadrintar · Quintintar · Sextintar · Septintar · Octintar · Nonintar · Dekintar · Hektintar · Kilintar · Megintar · Gigintar · Terintar · Petintar · Exintar · Zettintar · Yottintar · Tarintar