A194102 - cp's OEIS frontend

A194102 a(n) = Sum_{j=1..n} floor(j*sqrt(2)); n-th partial sum of Beatty sequence for sqrt(2), A001951.

n	a(n)
1	1
2	3
3	7
4	12
5	19
6	27
7	36
8	47
9	59
10	73
11	88
12	104
13	122
14	141
15	162
16	184
17	208
18	233
19	259
20	287
21	316
22	347
23	379
24	412
25	447
26	483
27	521
28	560
29	601
30	643
31	686
32	731
33	777
34	825
35	874
36	924
37	976
38	1029
39	1084
40	1140
41	1197
42	1256
43	1316
44	1378
45	1441
46	1506
47	1572
48	1639
49	1708
50	1778

[1, 3, 7, 12, 19, 27, 36, 47, 59, 73, 88, 104, 122, 141, 162, 184, 208, 233, 259, 287, 316, 347, 379, 412, 447, 483, 521, 560, 601, 643, 686, 731, 777, 825, 874, 924, 976, 1029, 1084, 1140, 1197, 1256, 1316, 1378, 1441, 1506, 1572, 1639, 1708, 1778]

cp's OEIS Frontend

A194102 a(n) = Sum_{j=1..n} floor(j*sqrt(2)); n-th partial sum of Beatty sequence for sqrt(2), A001951.

Table of values

List of values