A099406 Decimal part of 1/a(n) starts with the n-th prime (leading zeros excluded).
4, 3, 2, 13, 9, 72, 56, 51, 42, 34, 32, 27, 24, 23, 21, 186, 167, 162, 148, 14, 136, 126, 12, 112, 103, 99, 97, 93, 91, 88, 782, 76, 725, 715, 67, 66, 633, 61, 596, 575, 556, 55, 521, 516, 506, 501, 472, 447, 44, 435, 428, 417, 414, 397, 388, 38, 371, 368, 36, 355, 353
Offset: 1
Examples
a(1)= 4 -> 1/4 =0.{2}500000... a(2)= 3 -> 1/3 =0.{3}333333... a(3)= 2 -> 1/2 =0.{5}000000... a(4)=13 -> 1/13=0.0{7}69230... a(100)=1846 -> 1/1846=0.000{541}712 and 541 is the 100th prime.
Formula
a(n) = A052039(prime(n)). - Michel Marcus, Jan 08 2025