A163271 - cp's OEIS frontend

A163271 Numerators of fractions in a 'zero-transform' approximation of sqrt(2) by means of a(n) = (a(n-1) + c)/(a(n-1) + 1) with c=2 and a(1)=0.

n	a(n)
1	0
2	2
3	4
4	10
5	24
6	58
7	140
8	338
9	816
10	1970
11	4756
12	11482
13	27720
14	66922
15	161564
16	390050
17	941664
18	2273378
19	5488420
20	13250218
21	31988856
22	77227930
23	186444716
24	450117362
25	1086679440
26	2623476242
27	6333631924
28	15290740090
29	36915112104
30	89120964298
31	215157040700

[0, 2, 4, 10, 24, 58, 140, 338, 816, 1970, 4756, 11482, 27720, 66922, 161564, 390050, 941664, 2273378, 5488420, 13250218, 31988856, 77227930, 186444716, 450117362, 1086679440, 2623476242, 6333631924, 15290740090, 36915112104, 89120964298, 215157040700]

cp's OEIS Frontend

A163271 Numerators of fractions in a 'zero-transform' approximation of sqrt(2) by means of a(n) = (a(n-1) + c)/(a(n-1) + 1) with c=2 and a(1)=0.

Table of values

List of values