a(n) is the number of base-10 nonbouncy numbers below 10^n.

Terms

a(0) =10a(1) =100a(2) =475a(3) =1675a(4) =4954a(5) =12952a(6) =30817a(7) =67987a(8) =140907a(9) =277033a(10) =520565a(11) =940455a(12) =1641355a(13) =2778305a(14) =4576113a(15) =7354549a(16) =11560664a(17) =17809754a(18) =26936719a(19) =40059819a(20) =58659104a(21) =84672094a(22) =120609609a(23) =169694999a(24) =236030401a(25) =324794055a(26) =442473145a(27) =597137095a(28) =798756745a(29) =1059575359