A074580 -id:A074580 - cp's OEIS frontend

A074552 a(n) = 3^n + 5^n + 7^n.

3, 15, 83, 495, 3107, 20175, 134003, 903855, 6161987, 42326415, 292299923, 2026332015, 14085959267, 98111307855, 684331371443, 4778093436975, 33385561506947, 233393582580495, 1632228682596563, 11417969833962735

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (15,-71,105).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[3^n + 5^n + 7^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

Table[3^n + 5^n + 7^n, {n, 0, 20}]
LinearRecurrence[{15,-71,105},{3,15,83},20] (* Harvey P. Dale, Jul 16 2020 *)

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-7*x).
E.g.f.: exp(3*x) + exp(5*x) + exp(7*x). (End)
a(n) = 15*a(n-1) - 71*a(n-2) + 105*a(n-3).

A074553 a(n) = 3^n + 5^n + 8^n.

Original entry on oeis.org

3, 16, 98, 664, 4802, 36136, 278498, 2177464, 17174402, 136190536, 1083566498, 8638939864, 68964148802, 550978111336, 4404154809698, 35214904015864, 281627607648002, 2252562882278536, 18018213594168098, 144134262724445464

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (16,-79,120).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[3^n + 5^n + 8^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

Mathematica
```
Table[3^n + 5^n + 8^n, {n, 0, 20}]
```

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-8*x).
E.g.f.: exp(3*x) + exp(5*x) + exp(8*x). (End)
a(n) = 16*a(n-1) - 79*a(n-2) + 120*a(n-3).

A074554 a(n) = 3^n + 5^n + 9^n.

Original entry on oeis.org

3, 17, 115, 881, 7267, 62417, 547795, 4863281, 43443907, 389393297, 3496609075, 31430064881, 282674208547, 2543088125777, 22882900753555, 205921664021681, 1853172819789187, 16677944768259857, 150098450381685235

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (17,-87,135).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[3^n + 5^n + 9^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

Table[3^n + 5^n + 9^n, {n, 0, 20}]
LinearRecurrence[{17,-87,135},{3,17,115},30] (* Harvey P. Dale, Nov 27 2012 *)

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-9*x).
E.g.f.: exp(3*x) + exp(5*x) + exp(9*x). (End)
a(n) = 17*a(n-1) - 87*a(n-2) + 135*a(n-3).

A074555 a(n) = 3^n + 6^n + 7^n.

Original entry on oeis.org

3, 16, 94, 586, 3778, 24826, 165034, 1105666, 7450978, 50450986, 343000474, 2340300946, 16018600978, 109951298746, 756592019914, 5217760843426, 36054083523778, 249557302572106, 1729973941999354, 12008256087645106

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (16,-81,126).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[3^n + 6^n + 7^n: n in [0..20]]; // Vincenzo Librandi, Aug 24 2011

Mathematica
```
Table[3^n + 6^n + 7^n, {n, 0, 20}]
```

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-6*x) + 1/(1-7*x).
E.g.f.: exp(3*x) + exp(6*x) + exp(7*x). (End)

A074556 a(n) = 3^n + 6^n + 8^n.

Original entry on oeis.org

3, 17, 109, 755, 5473, 40787, 309529, 2379275, 18463393, 144315107, 1134267049, 8952908795, 70896790513, 562818102227, 4476415458169, 35654571422315, 284296129664833, 2268726602270147, 18115958853570889, 144724548978127835

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index entries for linear recurrences with constant coefficients, signature (17,-90,144).

Cf. A001550, A001576, A034513, A001579, A074501-A074580.

[3^n + 6^n + 8^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011

Table[3^n + 6^n + 8^n, {n, 0, 20}]
LinearRecurrence[{17,-90,144},{3,17,109},21] (* Harvey P. Dale, May 19 2011 *)

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-6*x) + 1/(1-8*x).
E.g.f.: e^(3*x) + e^(6*x) + e^(8*x). (End)
a(n) = 17*a(n-1) - 90*a(n-2) + 144*a(n-3); a(0)=3, a(1)=17, a(2)=109. - Harvey P. Dale, May 19 2011

A074557 3^n + 6^n + 9^n.

Original entry on oeis.org

3, 18, 126, 972, 7938, 67068, 578826, 5065092, 44732898, 397517868, 3547309626, 31744033812, 284606850258, 2554928116668, 22955161402026, 206361331428132, 1855841341806018, 16694108488251468, 150196195641088026

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (18,-99,162).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[3^n + 6^n + 9^n: n in [0..20]]; // Vincenzo Librandi, Aug 24 2011

Mathematica
```
Table[3^n + 6^n + 9^n, {n, 0, 20}]
```

G.f.: 1/(1-3*x)+1/(1-6*x)+1/(1-9*x). E.g.f.: exp(3*x)+exp(6*x)+exp(9*x). [From Mohammad K. Azarian, Dec 30 2008]

A074558 a(n) = 3^n + 7^n + 8^n.

Original entry on oeis.org

3, 18, 122, 882, 6578, 49818, 380522, 2922882, 22548578, 174591018, 1356276122, 10567438482, 82561295378, 646646418618, 5076274366922, 39931947947682, 314707950326978, 2484430456812618, 19642812494812922, 155514084423490482

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (18,-101,168).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[3^n + 7^n + 8^n: n in [0..20]]; // Vincenzo Librandi, Aug 24 2011

Table[3^n + 7^n + 8^n, {n, 0, 20}]
LinearRecurrence[{18,-101,168},{3,18,122},20] (* Harvey P. Dale, Jan 21 2024 *)

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-7*x) + 1/(1-8*x).
E.g.f.: exp(3*x) + exp(7*x) + exp(8*x). (End)

A074559 a(n) = 3^n + 7^n + 9^n.

Original entry on oeis.org

3, 19, 139, 1099, 9043, 76099, 649819, 5608699, 48818083, 427793779, 3769318699, 33358563499, 296271355123, 2638756433059, 23555020310779, 210638707953499, 1886253162468163, 16909812342793939, 151723049282330059

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (19,-111,189).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[3^n + 7^n + 9^n: n in [0..20]]; // Vincenzo Librandi, Aug 24 2011

Mathematica
```
Table[3^n + 7^n + 9^n, {n, 0, 20}]
```

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-7*x) + 1/(1-9*x).
E.g.f.: exp(3*x) + exp(7*x) + exp(9*x). (End)
a(n) = 19*a(n-1) - 111*a(n-2) + 189*a(n-3). - Wesley Ivan Hurt, Apr 11 2023

A074560 a(n) = 3^n + 8^n + 9^n.

Original entry on oeis.org

3, 20, 154, 1268, 10738, 92060, 794314, 6882308, 59830498, 521657900, 4560585274, 39971171348, 351149544658, 3091623236540, 27274843749034, 241075518532388, 2134495208609218, 18928981642491980, 168109034193901594, 1494966906911109428, 13310586967150560178

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (20,-123,216).

Cf. A001550, A001576, A001579, A034513, A074501-A074580.

[3^n + 8^n + 9^n: n in [0..20]]; // Vincenzo Librandi, Aug 24 2011

A074560:=n->3^n + 8^n + 9^n: seq(A074560(n), n=0..25); # Wesley Ivan Hurt, Aug 15 2016

Table[3^n + 8^n + 9^n, {n, 0, 20}]
LinearRecurrence[{20,-123,216}, {3, 20, 154}, 25] (* G. C. Greubel, Aug 15 2016 *)

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-3*x) + 1/(1-8*x) + 1/(1-9*x).
E.g.f.: exp(3*x) + exp(8*x) + exp(9*x). (End)
a(n) = 20*a(n-1) - 123*a(n-2) + 216*a(n-3) for n>2. - Wesley Ivan Hurt, Aug 15 2016

A074561 a(n) = 4^n + 5^n + 6^n.

Original entry on oeis.org

3, 15, 77, 405, 2177, 11925, 66377, 374445, 2135777, 12292965, 71280377, 415819485, 2437700177, 14348506005, 84736115177, 501776304525, 2977992765377, 17706778767045, 105443373410777, 628708104245565

Offset: 0

Robert G. Wilson v, Aug 23 2002

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (15,-74,120).

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

[4^n + 5^n + 6^n: n in [0..20]]; // Vincenzo Librandi, Aug 24 2011

Mathematica
```
Table[4^n + 5^n + 6^n, {n, 0, 19}]
```

From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-4*x) + 1/(1-5*x) + 1/(1-6*x).
E.g.f.: exp(4*x) + exp(5*x) + exp(6*x). (End)

cp's OEIS Frontend

A074552 a(n) = 3^n + 5^n + 7^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A074553 a(n) = 3^n + 5^n + 8^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A074554 a(n) = 3^n + 5^n + 9^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A074555 a(n) = 3^n + 6^n + 7^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A074556 a(n) = 3^n + 6^n + 8^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A074557 3^n + 6^n + 9^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A074558 a(n) = 3^n + 7^n + 8^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A074559 a(n) = 3^n + 7^n + 9^n.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica