OFFSET
0,1
COMMENTS
From Sangeet Paul, May 29 2019: (Start)
What constitutes a distinct letter is determined by the following rules: all words are in Modern Standard Hindi written in the Devanagari script; a vowel, a vowel diacritic, a consonant, a consonant diacritic, or a nasal diacritic is one letter; a conjunct consonant is as many letters as the consonants conjuncted; a nuqta or a halant is not a letter; and a space between two words is not a letter.
Hindi has a unique word for every number from 0 to 99, and a unique place-value word for 100 and every power of 10 of the form 10^(2k+1) where k is a positive integer. Therefore:
a(n) = a(n mod 100) + (d(100) + a(floor(n/100) mod 10))*[floor(n/100) mod 10 > 0] + Sum_{k=1..oo} (d(10^(2k+1)) + a(floor(n/(10^(2k+1))) mod 100))*[floor(n/(10^(2k+1))) mod 100 > 0] where [] is the Iverson bracket and d() is the number of letters in a place-value word.
d(100) = 2, d(10^3) = 4, d(10^5) = 3, d(10^7) = 4, d(10^9) = 3, d(10^11) = 3, d(10^13) = 3, d(10^15) = 3, d(10^17) = 3.
In another popular convention: a vowel, or a consonant is one letter; a consonant diacritic is half a letter; a conjunct consonant is half a letter plus half as many letters as the consonants conjuncted; and a vowel diacritic, a nasal diacritic, a nuqta, a halant, or a space is not a letter. These rules change the sequence to: 2.5, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 3.5, 3, 3, 3, 3, 3, 3.5, 4, 3.5, 2, ...
(End)
LINKS
Author?, Hindi Numbers
Critical Languages Center, Univ. Alabama, Numbers in Hindi
WikiBooks, Hindi Numbers
CROSSREFS
KEYWORD
nonn,word
AUTHOR
Vinay Vaishampayan, Jun 19 2008, Jun 20 2008
EXTENSIONS
Links added by N. J. A. Sloane, Jun 20 2008
Offset 0 from Sangeet Paul, May 27 2019
a(21)-a(86) from Sangeet Paul, May 29 2019
STATUS
approved