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%I #29 Jul 16 2022 01:24:35
%S 0,0,0,0,9,2,1,2,4,0,0,0,0,5,3,0,0,2,2,4,1,2,1,1,0,0,0,0,0,2,148,51,
%T 20,41,91,0,0,2,0,90,39,0,0,41,40,137,11,31,20,20,80,0,1,0,0,1801,
%U 3161,710,300,1501,1310,0,0,20,0,2182,682,0,0,1500,601,1671,1101,510,300,300,800,0
%N The n-th row of this table is the number of occurrences of letters in the names of integers in US English, in the ranges 1 to 10^n.
%C Occurrences are given in alphabetical order. The first data term is occurrences of A, the 26th is occurrences of Z in the range 1 to 10^1 inclusive. The 27th data term is occurrences of A, the 52nd is occurrences of Z in the range 1 to 10^2. This pattern continues.
%H Michael S. Branicky, <a href="/A350298/b350298.txt">Table of n, a(n) for n = 1..156</a>
%e E occurs once in 1, twice in 3, once in 5, twice in 7, once in 8, once in 9 and once in 10. This totals 9 occurrences, so a(5)=9.
%e For ranges from 1 to 10^n (inclusive):
%e Upper bound of range
%e 10^1 10^2 10^3 10^4 10^5 10^6
%e A 0 0 1 9001 99001 999000
%e B 0 0 0 0 0 0
%e C 0 0 0 0 0 0
%e D 0 2 1801 27001 279003 4599000
%e E 9 148 3161 39601 462002 6320001
%e F 2 51 710 9100 122000 1420000
%e G 1 20 300 4000 50000 600000
%e H 2 41 1501 26001 289002 3999000
%e I 4 91 1310 17100 222000 2620002
%e J 0 0 0 0 0 0
%e K 0 0 0 0 0 0
%e L 0 2 20 200 4000 40002
%e M 0 0 0 0 0 1
%e N 5 90 2182 34802 405003 5359002
%e O 3 39 682 18801 205002 2359002
%e P 0 0 0 0 0 0
%e Q 0 0 0 0 0 0
%e R 2 41 1500 17000 190001 3000000
%e S 2 40 601 17001 199001 2199000
%e T 4 137 1671 28702 403001 4339000
%e U 1 11 1101 21001 219002 3199000
%e V 2 31 510 7100 82000 1020000
%e W 1 20 300 4000 50000 600000
%e X 1 20 300 4000 50000 600000
%e Y 0 80 800 8000 160000 1600000
%e Z 0 0 0 0 0 0
%o (Python)
%o from num2words import num2words
%o from collections import Counter
%o def n2w(n): return num2words(n).replace(" and", "")
%o def row(n):
%o c = Counter()
%o for i in range(1, 10**n+1): c.update(n2w(i))
%o return [c[i] for i in "abcdefghijklmnopqrstuvwxyz"]
%o print([an for r in range(1, 4) for an in row(r)]) # _Michael S. Branicky_, Jul 15 2022
%K nonn,tabf,word
%O 1,5
%A _Paul Duckett_, Dec 23 2021
%E a(72) and values for T in table for 10^3..10^6 corrected by _Michael S. Branicky_, Jul 15 2022
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