cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 18 results. Next

A155657 10^n+7^n-1.

Original entry on oeis.org

1, 16, 148, 1342, 12400, 116806, 1117648, 10823542, 105764800, 1040353606, 10282475248, 101977326742, 1013841287200, 10096889010406, 100678223072848, 1004747561509942, 10033232930569600, 100232630513987206
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656.

Programs

  • Mathematica
    Table[10^n+7^n-1,{n,0,30}] (* or *) LinearRecurrence[{18,-87,70},{1,16,148},30] (* Harvey P. Dale, Aug 29 2024 *)
  • PARI
    a(n)=10^n+7^n-1^n \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-10*x)+1/(1-7*x)-1/(1-x). E.g.f.: e^(10*x)+e^(7*x)-e^x.
a(n)=17*a(n-1)-70*a(n-2)-54 with a(0)=1, a(1)=16 - Vincenzo Librandi, Jul 21 2010

A155658 a(n) = 11^n + 7^n - 1.

Original entry on oeis.org

1, 17, 169, 1673, 17041, 177857, 1889209, 20310713, 220123681, 2398301297, 26219899849, 287288997353, 3152269663921, 34619601154337, 380428056656089, 4181995730925593, 45982962794141761, 505679659013280977
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657.

Programs

Formula

G.f.: 1/(1-11*x) + 1/(1-7*x) - 1/(1-x).
E.g.f.: exp(11*x) + exp(7*x) - exp(x).
a(n) = 18*a(n-1)-77*a(n-2)-60 with a(0)=1, a(1)=17. - Vincenzo Librandi, Jul 21 2010

A155659 a(n) = 8^n - 7^n + 1.

Original entry on oeis.org

1, 2, 16, 170, 1696, 15962, 144496, 1273610, 11012416, 93864122, 791266576, 6612607850, 54878189536, 452866803482, 3719823438256, 30436810578890, 248242046141056, 2019169299698042, 16385984911571536, 132716292890482730, 1073129238309234976, 8664826172771491802
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658.

Programs

Formula

G.f.: 1/(1-8*x)-1/(1-7*x)+1/(1-x).
E.g.f.: exp(8*x)-exp(7*x)+exp(x).
a(n) = 15*a(n-1)-56*a(n-2)+42 with a(0) = 1, a(1) = 2. - Vincenzo Librandi, Jul 21 2010

A155660 a(n) = 9^n - 7^n + 1.

Original entry on oeis.org

1, 3, 33, 387, 4161, 42243, 413793, 3959427, 37281921, 347066883, 3204309153, 29403732867, 268588249281, 2444976817923, 22198569382113, 201143570584707, 1819787258282241, 16444551185679363, 148466221699088673, 1339452822487618947, 12077873192759316801, 108860443267429075203
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659.

Programs

Formula

G.f.: 1/(1-9*x)-1/(1-7*x)+1/(1-x).
E.g.f.: exp(9*x)-exp(7*x)+exp(x).
a(n) = 16*a(n-1)-63*a(n-2)+48 with a(0) = 1, a(1) = 3. - Vincenzo Librandi, Jul 21 2010

A155661 a(n) = 10^n - 7^n + 1.

Original entry on oeis.org

1, 4, 52, 658, 7600, 83194, 882352, 9176458, 94235200, 959646394, 9717524752, 98022673258, 986158712800, 9903110989594, 99321776927152, 995252438490058, 9966767069430400, 99767369486012794, 998371586402089552
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660.

Programs

  • Mathematica
    Table[10^n-7^n+1,{n,0,20}] (* or *) LinearRecurrence[{18,-87,70},{1,4,52}, 21] (* Harvey P. Dale, May 05 2011 *)
  • PARI
    a(n)=10^n-7^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-10*x)-1/(1-7*x)+1/(1-x).
E.g.f.: e^(10*x)-e^(7*x)+e^x.
a(n) = 17*a(n-1)-70*a(n-2)+54 with a(0)=1, a(1)=4. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=4, a(2)=52, a(n)=18*a(n-1)-87*a(n-2)+70*a(n-3). - Harvey P. Dale, May 05 2011

A155662 a(n) = 11^n - 7^n + 1.

Original entry on oeis.org

1, 5, 73, 989, 12241, 144245, 1653913, 18663629, 208594081, 2317594085, 25654949353, 283334343869, 3124587089521, 34425823133525, 379071610510393, 4172500607905709, 45916496933002561, 505214397985306565, 5558288899894321033, 61147691553229173149
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661.

Programs

Formula

G.f.: 1/(1-11*x) - 1/(1-7*x) + 1/(1-x).
E.g.f.: e^(11*x) - e^(7*x) + e^x.
a(n) = 18*a(n-1) - 77*a(n-2) + 60; a(0)=1, a(1)=5. - Vincenzo Librandi, Jul 21 2010

A155663 a(n) = 9^n + 8^n - 1.

Original entry on oeis.org

1, 16, 144, 1240, 10656, 91816, 793584, 6880120, 59823936, 521638216, 4560526224, 39970994200, 351149013216, 3091621642216, 27274838966064, 241075504183480, 2134495165562496, 18928981513351816, 168109033806481104, 1494966905748847960, 13310586963663775776
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662.

Programs

  • Mathematica
    Table[9^n+8^n-1,{n,0,20}] (* or *) LinearRecurrence[{18,-89,72},{1,16,144},20] (* Harvey P. Dale, Jun 14 2016 *)
  • PARI
    a(n)=9^n+8^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-9*x)+1/(1-8*x)-1/(1-x).
E.g.f.: exp(9*x)+exp(8*x)-exp(x).
a(n) = 17*a(n-1)-72*a(n-2)-56 with a(0) = 1, a(1) = 16. - Vincenzo Librandi, Jul 21 2010

A155664 a(n) = 10^n+8^n-1.

Original entry on oeis.org

1, 17, 163, 1511, 14095, 132767, 1262143, 12097151, 116777215, 1134217727, 11073741823, 108589934591, 1068719476735, 10549755813887, 104398046511103, 1035184372088831, 10281474976710655, 102251799813685247
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663.

Programs

  • Mathematica
    Table[10^n+8^n-1,{n,0,20}] (* or *) LinearRecurrence[{19,-98,80},{1,17,163},20] (* Harvey P. Dale, Oct 11 2011 *)
  • PARI
    a(n)=10^n+8^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-10*x)+1/(1-8*x)-1/(1-x).
E.g.f.: e^(10*x)+e^(8*x)-e^x.
a(n)=18*a(n-1)-80*a(n-2)-63 with a(0)=1, a(1)=17. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=17, a(2)=163, a(n)=19*a(n-1)-98*a(n-2)+80*a(n-3). - Harvey P. Dale, Oct 11 2011

A155665 a(n) = 11^n + 8^n - 1.

Original entry on oeis.org

1, 18, 184, 1842, 18736, 193818, 2033704, 21584322, 231136096, 2492165418, 27011166424, 293901605202, 3207147853456, 35072467957818, 384147880094344, 4212432541504482, 46231204840282816, 507698828312979018, 5577931712001713464, 61303205636490402162, 673902916437166856176
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664.

Programs

  • Mathematica
    Table[11^n+8^n-1,{n,0,20}] (* or *) LinearRecurrence[{20,-107,88},{1,18,184},20] (* Harvey P. Dale, May 18 2011 *)
  • PARI
    a(n)=11^n+8^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-11*x)+1/(1-8*x)-1/(1-x).
E.g.f.: exp(11*x)+exp(8*x)-exp(x).
a(n) = 19*a(n-1)-88*a(n-2)-70 with a(0) = 1, a(1) = 18. - Vincenzo Librandi, Jul 21 2010
a(0) = 1, a(1) = 18, a(2) = 184, a(n) = 20*a(n-1)-107*a(n-2)+88*a(n-3). - Harvey P. Dale, May 18 2011

A155666 a(n) = 9^n - 8^n + 1.

Original entry on oeis.org

1, 2, 18, 218, 2466, 26282, 269298, 2685818, 26269506, 253202762, 2413042578, 22791125018, 213710059746, 1992110014442, 18478745943858, 170706760005818, 1571545212141186, 14425381885981322, 132080236787517138, 1206736529597136218, 11004743954450081826, 100195617094657583402
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664, A155665.

Programs

Formula

G.f.: 1/(1-9*x)-1/(1-8*x)+1/(1-x).
E.g.f.: exp(9*x)-exp(8*x)+exp(x).
a(n) = 17*a(n-1)-72*a(n-2)+56 with a(0) = 1, a(1) = 2. - Vincenzo Librandi, Jul 21 2010
Showing 1-10 of 18 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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