A334631 a(n) = number of letters in the sum of all previous terms, with a(1) = 1 (in US English, excluding spaces and hyphens).
1, 3, 4, 5, 8, 9, 6, 9, 9, 9, 10, 12, 10, 10, 14, 18, 21, 20, 22, 10, 13, 21, 19, 20, 21, 16, 18, 23, 20, 21, 14, 18, 21, 20, 22, 22, 19, 22, 16, 21, 22, 18, 21, 20, 22, 12, 18, 18, 22, 19, 22, 18, 22, 20, 22, 23, 18, 21, 20, 22, 22
Offset: 1
Examples
a(4) = 5, as a(1) + a(2) + a(3) = 8 and 8 has 5 letters in English.