# Hoon Balakram

Hoon Balakram
Born 1876
Jalandhar
Died 1929
Nationality Indian
Fields Mathematics

Hoon Balakram (1876–1929)[1] was an Indian mathematician, civil servant and Bombay High Court judge.

## Biography

Balakram was born in Jalandhar, Punjab in 1876. He received his master's degree from Panjab University, Chandigarh and later passed the Mathematical Tripos from the St John's College, Cambridge.[1]

In 1899 he passed the Indian Civil Service examination. Among other posts in his career he was appointed a Bombay High Court judge in 1929 a month before his death.[1] He also served as the president of Indian Mathematical Society from 1921 to 26.[2]

## Mathematical achievements

Balakram proved in 1929[1] that the expression ${\displaystyle {(2n)! \over (n+1)!(n+1)!}}$ is an integer for infinitely many values of ${\displaystyle n.}$ He further showed that the expression is an integer for only eight values of ${\displaystyle n\leq 100}$, namely, 5, 14, 27, 41, 44, 65, 76, and 90.

## References

1. ^ a b c d Thomas Koshy Professor of Mathematics Framingham State College (15 November 2008). Catalan Numbers with Applications. Oxford University Press. pp. 69–. ISBN 978-0-19-971519-0. Retrieved 18 July 2013.
2. ^