# Definition:Bernoulli Numbers/Archaic Form/Sequence

 $\displaystyle B_1^*$ $=$ $\displaystyle \dfrac 1 6$ $\displaystyle B_2^*$ $=$ $\displaystyle \dfrac 1 {30}$ $\displaystyle B_3^*$ $=$ $\displaystyle \dfrac 1 {42}$ $\displaystyle B_4^*$ $=$ $\displaystyle \dfrac 1 {30}$ $\displaystyle B_5^*$ $=$ $\displaystyle \dfrac 5 {66}$ $\displaystyle B_6^*$ $=$ $\displaystyle \dfrac {691} {2730}$ $\displaystyle B_7^*$ $=$ $\displaystyle \dfrac 7 6$ $\displaystyle B_8^*$ $=$ $\displaystyle \dfrac {3617} {510}$ $\displaystyle B_9^*$ $=$ $\displaystyle \dfrac {43 \, 867} {798}$ $\displaystyle B_{10}^*$ $=$ $\displaystyle \dfrac {174 \, 611} {330}$ $\displaystyle B_{11}^*$ $=$ $\displaystyle \dfrac {854 \, 513} {138}$ $\displaystyle B_{12}^*$ $=$ $\displaystyle \dfrac {236 \, 364 \, 091} {2730}$