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 1-3 of 3 results.

A350983 a(0)=1, a(1)=25, a(2)=865; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).

Original entry on oeis.org

1, 25, 865, 29401, 998785, 33929305, 1152597601, 39154389145, 1330096633345, 45184131144601, 1534930362283105, 52142448186480985, 1771308307978070401, 60172340023067912665, 2044088252476330960225, 69438828244172184735001, 2358876072049377950029825, 80132347621434678116279065
Offset: 0

Views

Author

N. J. A. Sloane, Mar 08 2022

Keywords

References

  • P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.

Crossrefs

Programs

  • Mathematica
    nxt[{a_,b_,c_}]:={b,c,35(c-b)+a}; NestList[nxt,{1,25,865},20][[;;,1]] (* or *) LinearRecurrence[ {35,-35,1},{1,25,865},20] (* Harvey P. Dale, Sep 04 2024 *)

Formula

G.f.: -(5*x - 1)^2/((x - 1)*(x^2 - 34*x + 1)). - Chai Wah Wu, Mar 08 2022

A350985 a(0)=4, a(1)=148, a(2)=5044; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).

Original entry on oeis.org

4, 148, 5044, 171364, 5821348, 197754484, 6717831124, 228208503748, 7752371296324, 263352415571284, 8946229758127348, 303908459360758564, 10323941388507663844, 350710098749899812148, 11913819416108085949204, 404719150048925022460804, 13748537282247342677718148, 467045548446360726019956244
Offset: 0

Views

Author

N. J. A. Sloane, Mar 08 2022

Keywords

References

  • P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.

Crossrefs

Programs

  • Mathematica
    RecurrenceTable[{a[0]==4,a[1]==148,a[2]==5044,a[n]==35(a[n-1]-a[n-2])+ a[n-3]},a,{n,20}] (* Harvey P. Dale, Mar 08 2022 *)

Formula

G.f.: -4*(x + 1)^2/((x - 1)*(x^2 - 34*x + 1)). - Chai Wah Wu, Mar 08 2022

A350986 a(0)=3, a(1)=105, a(2)=3567; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).

Original entry on oeis.org

3, 105, 3567, 121173, 4116315, 139833537, 4750223943, 161367780525, 5481754313907, 186218278892313, 6325939728024735, 214895732473948677, 7300128964386230283, 247989489056657880945, 8424342498961981721847, 286179655475650720661853, 9721683943673162520781155, 330251074429411874985897417
Offset: 0

Views

Author

N. J. A. Sloane, Mar 08 2022

Keywords

References

  • P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.

Crossrefs

Programs

  • Mathematica
    LinearRecurrence[{34,-1},{3,105},20] (* Harvey P. Dale, Mar 24 2023 *)

Formula

From Chai Wah Wu, Mar 08 2022: (Start)
a(n) = 34*a(n-1) - a(n-2) for n > 1.
G.f.: 3*(x + 1)/(x^2 - 34*x + 1). (End)
Showing 1-3 of 3 results.