A004942 -id:A004942

A195819

Multiples of 29.

+10
8

0, 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 870, 899, 928, 957, 986, 1015, 1044, 1073, 1102, 1131, 1160, 1189, 1218, 1247, 1276, 1305, 1334

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

CROSSREFS

Cf. A004922, A004942, A008605, A010868, A135631, A195033, A195034.

A004939

a(n) = round(n*phi^4), where phi is the golden ratio, A001622.

+10
6

0, 7, 14, 21, 27, 34, 41, 48, 55, 62, 69, 75, 82, 89, 96, 103, 110, 117, 123, 130, 137, 144, 151, 158, 164, 171, 178, 185, 192, 199, 206, 212, 219, 226, 233, 240, 247, 254, 260, 267, 274, 281, 288, 295, 302, 308

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

CROSSREFS

Cf. A001622, A004940, A004941, A004942, A004943.

A004940

a(n) = round(n*phi^5), where phi is the golden ratio, A001622.

+10
5

0, 11, 22, 33, 44, 55, 67, 78, 89, 100, 111, 122, 133, 144, 155, 166, 177, 189, 200, 211, 222, 233, 244, 255, 266, 277, 288, 299, 311, 322, 333, 344, 355, 366, 377, 388, 399, 410, 421, 433, 444, 455, 466, 477

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

CROSSREFS

Cf. A001622, A004939, A004941, A004942, A004943.

A004941

a(n) = round(n*phi^6), where phi is the golden ratio, A001622.

+10
5

0, 18, 36, 54, 72, 90, 108, 126, 144, 161, 179, 197, 215, 233, 251, 269, 287, 305, 323, 341, 359, 377, 395, 413, 431, 449, 467, 484, 502, 520, 538, 556, 574, 592, 610, 628, 646, 664, 682, 700, 718, 736, 754, 772

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

CROSSREFS

Cf. A001622, A004939, A004940, A004942, A004943.

A004943

a(n) = round(n*phi^8), where phi is the golden ratio, A001622.

+10
5

0, 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1127, 1174, 1221, 1268, 1315, 1362, 1409, 1456, 1503, 1550, 1597, 1644, 1691, 1738, 1785

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

CROSSREFS

Cf. A001622, A004939, A004940, A004941, A004942.

A249079

a(n) = 29*n + floor( n/29 ) + 0^( 1-floor( (14+(n mod 29))/29 ) ).

+10
3

0, 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 436, 465, 494, 523, 552, 581, 610, 639, 668, 697, 726, 755, 784, 813, 842, 871, 900, 929, 958, 987, 1016, 1045, 1074, 1103, 1132, 1161, 1190, 1219, 1248, 1278, 1307, 1336

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

COMMENTS

This is an approximation to A004942 (Nearest integer to n*phi^7, where phi is the golden ratio, A001622).

CROSSREFS

Cf. A004942 (round(n*phi^7)), A004922 (floor(n*phi^7)), A004962 (ceiling(n*phi^7)).

A248739

a(n) = 29*n + ceiling(n/29).

+10
2

0, 30, 59, 88, 117, 146, 175, 204, 233, 262, 291, 320, 349, 378, 407, 436, 465, 494, 523, 552, 581, 610, 639, 668, 697, 726, 755, 784, 813, 842, 872, 901, 930, 959, 988, 1017, 1046, 1075, 1104, 1133, 1162, 1191, 1220, 1249, 1278, 1307, 1336, 1365, 1394, 1423

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

CROSSREFS

Cf. A004922 (floor(n*phi^7)), A004962 (ceiling(n*phi^7)), A004942 (round(n*phi^7)).

A248786

a(n) = 29*n + floor(n/29) + 0^n - 0^(n mod 29).

+10
2

0, 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 871, 900, 929, 958, 987, 1016, 1045, 1074, 1103, 1132, 1161, 1190, 1219, 1248

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

CROSSREFS

Cf. A004922 (floor(n*phi^7)), A004962 (ceiling(n*phi^7)), A004942 (round(n*phi^7)).

A256278

a(0)=1, a(1)=2, a(n) = 31*a(n-1) - 29*a(n-2).

+10
1

1, 2, 33, 965, 28958, 869713, 26121321, 784539274, 23563199185, 707707535789, 21255600833094, 638400107288033, 19173990901769297, 575880114843495250, 17296237823997043137, 519482849213446974997, 15602377428720941973934, 468608697663159238917041

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

COMMENTS

The continued fraction for phi^7 is {29,{29}}, and 29 occurs in the following approximations for n*phi^7: A248786 (29*n+floor(n/29)+0^n-0^(n mod 29)) for A004922 (floor(n*phi^7)), A249079 (29*n+floor(n/29)+0^(1-floor((14+(n mod 29))/29)) for A004942 (round(n*phi^7)), and A248739 (29*n+ceiling(n/29)) for A004962 (ceiling(n*phi^7)).

CROSSREFS

Cf. A001622, A195819 (29*n), A084330, A004922, A004942, A004962, A248786, A249079, A248739.