Hemachandra

Hemachandra was a 12th-century Jain scholar, poet, and polymath whose work on Sanskrit and Prakrit prosody included a recurrence relation for syllabic meter patterns.

Syllabic meter: A poetic meter whose pattern is determined by the number of syllables in each line. Hemachandra counted combinations of short and long syllables within metrical patterns.
Hemachandra numbers: A sequence counting compositions of an integer using parts of size one and two. The sequence arises when metrical patterns are grouped by their final syllable.
Pingala: An ancient Indian scholar associated with the Chandaḥśāstra, an early treatise on Sanskrit meter. Pingala’s prosodic tradition supplied precedents for analyzing metrical combinations.
Jayasiṃha Siddharāja: A 12th-century Chaulukya ruler of Gujarat who patronized learning and the arts. Hemachandra’s career was closely associated with this ruler’s court.
Fibonacci: Leonardo of Pisa, a 13th-century mathematician known for Liber Abaci and the sequence now bearing his name. The European name for the sequence obscures its earlier appearance in Hemachandra’s metrical analysis.
Sanskrit prosody: The study of poetic meter, rhythm, and sound in Sanskrit verse. Its technical vocabulary and metrical traditions frame Hemachandra’s analysis.
Fibonacci sequence: A sequence in which each term is the sum of the two preceding terms, starting with 0 and 1. Its recurrence matches counts of syllabic patterns under Hemachandra’s two-weight scheme.
Chandaḥśāstra: An early Sanskrit treatise on poetic meter traditionally attributed to Pingala. Its methods for classifying meters preceded Hemachandra’s treatment.
Kumārapāla: A 12th-century Chaulukya ruler of Gujarat who became a patron of Jainism. Hemachandra served as a religious and intellectual adviser during his reign.
Liber Abaci: A 1202 mathematical work by Fibonacci that introduced Hindu-Arabic numerals to a Latin readership. Its rabbit-population problem made the recurrence famous in medieval Europe.

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