Generalization of Ramanujan's formula for sums of half-integer powers of consecutive integers via formal Bernoulli series

Max A. Alekseyev, Rafael Gonzalez, Keryn Loor +2

Faulhaber's formula expresses the sum of the first $n$ positive integers, each raised to an integer power $p\ge 0$, as a polynomial in $n$ of degree $p+1$. Ramanujan expressed thi…