A001672 -id:A001672 - OEIS

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A153713

Greatest number m such that the fractional part of Pi^A137994(n) <= 1/m.

+10
6

7, 159, 270, 307, 744, 757, 796, 1079, 1226, 7804, 13876, 62099, 70718, 86902, 154755

(list; graph; refs; listen; history; text; internal format)

A134915

a(0) = 1, a(n) = floor(a(n - 1)*Pi).

+10
5

1, 3, 9, 28, 87, 273, 857, 2692, 8457, 26568, 83465, 262213, 823766, 2587937, 8130243, 25541911, 80242279, 252088554, 791959549, 2488014301, 7816327450, 24555716894, 77144059797, 242355211526, 761381352089, 2391950062303, 7514532743484, 23607600862089, 74165465437218

(list; graph; refs; listen; history; text; internal format)

A138324

a(n) = the second term in the simple continued fraction of Pi^n.

+10
5

7, 1, 159, 2, 50, 2, 3, 1, 10, 21, 55, 5, 3, 5, 1, 1, 1, 14, 1, 12, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 2, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 7, 1, 8, 1, 2, 33, 1, 1, 1, 1, 117, 1, 2, 1, 1, 1, 8, 1, 2, 1, 1, 1, 1, 1, 27, 1, 1, 5, 4, 1, 1, 1, 270, 1, 1, 1, 5, 3, 1, 25, 2, 10, 9, 1, 16, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

A001674

a(n) = floor(sqrt( 2*Pi )^n).

+10
4

1, 2, 6, 15, 39, 98, 248, 621, 1558, 3906, 9792, 24546, 61528, 154230, 386597, 969056, 2429063, 6088760, 15262258, 38256809, 95895600, 240374623, 602529828, 1510318305, 3785806567, 9489609784, 23786924200, 59624976768, 149457652641, 374634777972

(list; graph; refs; listen; history; text; internal format)

A071973

Number of primes less than or equal to Pi^n.

+10
3

0, 2, 4, 11, 25, 62, 162, 433, 1175, 3229, 9042, 25549, 73050, 210356, 610041, 1779830, 5218745, 15372304, 45455747, 134882577, 401480918, 1198344171, 3585783711, 10754085805, 32319203663, 97312548674, 293515297707, 886720888966, 2682778745396, 8127887397064

(list; graph; refs; listen; history; text; internal format)

A061294

a(n) = floor( n^Pi ).

+10
2

1, 8, 31, 77, 156, 278, 451, 687, 995, 1385, 1869, 2456, 3159, 3987, 4952, 6065, 7337, 8781, 10406, 12226, 14251, 16494, 18966, 21680, 24646, 27878, 31387, 35186, 39287, 43703, 48445, 53526, 58959, 64756, 70930, 77494, 84459, 91840, 99649

(list; graph; refs; listen; history; text; internal format)

A137299

Square matrix read by antidiagonals: T(m,n) = m-th term in the continued fraction expansion of Pi^n.

+10
2

3, 9, 7, 31, 1, 15, 97, 159, 6, 1, 306, 2, 3, 1, 292, 961, 50, 2, 7, 2, 1, 3020, 2, 1, 3, 1, 47, 1, 9488, 3, 1, 4, 1, 13, 1, 1, 29809, 1, 2, 1, 60, 16539, 2, 8, 2, 93648, 10, 1, 2, 3, 1, 1, 1, 1, 1, 294204, 21, 14, 7, 3, 9, 4, 6, 3, 1, 3, 924269, 55, 15, 1, 1, 2, 1, 23, 7, 1, 2, 1

(list; graph; refs; listen; history; text; internal format)

A121245

(Floor(n*Pi))^n.

+10
1

3, 36, 729, 20736, 759375, 34012224, 1801088541, 152587890625, 10578455953408, 819628286980801, 70188843638032384, 6582952005840035281, 671088640000000000000, 73885357344138503765449

(list; graph; refs; listen; history; text; internal format)

A137995

Nearest integer to 1/frac(Pi^A137994(n)), where frac(x) = x - floor(x).

+10
1

7, 159, 270, 308, 745, 758, 1080, 1227, 7805

(list; graph; refs; listen; history; text; internal format)

A235361

Floor((n + Pi)^2).

+10
1

9, 17, 26, 37, 51, 66, 83, 102, 124, 147, 172, 199, 229, 260, 293, 329, 366, 405, 446, 490, 535, 582, 632, 683, 736, 791, 849, 908, 969, 1033, 1098, 1165, 1234, 1306, 1379, 1454, 1532, 1611, 1692, 1775, 1861, 1948, 2037, 2129, 2222, 2317, 2414, 2514, 2615

(list; graph; refs; listen; history; text; internal format)

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