A066899a(n) = card({k : phi(k) == n (mod k)}).

1, 3, 1, 4, 2, 5, 1, 7, 2, 3, 2, 7, 2, 5, 2, 7, …

The first 7 terms appear at position 8,920.

…8201792896476697583183271314251702969234889627668440323…
position 8,920
termsstringfirst positionoccurrences
11199,997,334
2131109,998,738
31311,0961,001,090
413143,902100,180
5131428,9209,994
61314258,920999
713142518,920110
8131425178,9209
913142517235,968,1312
101314251723not within 1,000,000,0000
1113142517232not within 1,000,000,0000
12131425172327not within 1,000,000,0000

Searched the first 1,000,000,000 digits. Strings longer than 12 digits are not indexed.