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.

A350979 a(0)=1, a(1)=652, thereafter a(n) = 254*a(n-1)-a(n-2)+378.

Original entry on oeis.org

1, 652, 165985, 42159916, 10708453057, 2719904916940, 690845140450081, 175471945769404012, 44569183380288169345, 11320397106647425609996, 2875336295905065816770017, 730324098762780070033974700, 185499445749450232722812804161, 47116128896261596331524418282572, 11967311240204696017974479430969505
Offset: 0

Views

Author

N. J. A. Sloane, Mar 06 2022

Keywords

Comments

Arises in studying the equation x^3 - 7*y^2 = 1.

References

  • P.-F. Teilhet, Query 2228, L'Intermédiaire des Mathématiciens, 11 (1904), 44-45.

Links

Crossrefs

Cf. A144929, A350980, A350981, A350982.

Formula

From Chai Wah Wu, Mar 07 2022: (Start)
a(n) = 255*a(n-1) - 255*a(n-2) + a(n-3) for n > 3.
G.f.: x*(20*x^2 - 397*x - 1)/((x - 1)*(x^2 - 254*x + 1)). (End)

A350980 a(0) = 17, a(1) = 4700, thereafter a(n) = 254*a(n-1) - a(n-2) + 378.

Original entry on oeis.org

17, 4700, 1194161, 303312572, 77040199505, 19567907362076, 4970171429768177, 1262403975253755260, 320645639543024068241, 81442730039952859578332, 20686132784508483308828465, 5254196284535114807582852156, 1334545170139134652642735619537, 338969219019055666656447264510620
Offset: 0

Views

Author

N. J. A. Sloane, Mar 06 2022

Keywords

Comments

Arises in studying the equation x^3 - 7*y^2 = 1.

References

  • P.-F. Teilhet, Query 2228, L'Intermédiaire des Mathématiciens, 11 (1904), 44-45.

Links

Crossrefs

Cf. A350979, A350981.

Formula

From Chai Wah Wu, Mar 07 2022: (Start)
a(n) = 255*a(n-1) - 255*a(n-2) + a(n-3) for n > 3.
G.f.: (4*x^2 - 365*x - 17)/((x - 1)*(x^2 - 254*x + 1)). (End)

A350982 a(0)=0, a(1)=49, thereafter a(n) = 14*a(n-1)-a(n-2)+42.

Original entry on oeis.org

0, 49, 728, 10185, 141904, 1976513, 27529320, 383434009, 5340546848, 74384221905, 1036038559864, 14430155616233, 200986140067440, 2799375805327969, 38990275134524168, 543064476078010425, 7563912389957621824, 105351708983328695153, 1467360013376644110360, 20437688478289688849929
Offset: 0

Views

Author

N. J. A. Sloane, Mar 08 2022

Keywords

Comments

Arises in studying the equation x^3 - 7*y^2 = 1.

References

  • P.-F. Teilhet, Query 2228, L'Intermédiaire des Mathématiciens, 11 (1904), 44-45.

Crossrefs

Cf. A144929, A350979, A350980, A350981.
Showing 1-3 of 3 results.

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

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