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 1-5 of 5 results.

A126993 a(n) = binomial(prime(n+3), prime(n)).

Original entry on oeis.org

21, 165, 1287, 19448, 75582, 1144066, 51895935, 141120525, 6107086800, 7898654920, 15338678264, 5178066751, 266783135710, 109712808959985, 22512762077400, 97862516286480, 12802736917880, 18385569737808
Offset: 1

Views

Author

Artur Jasinski, Jan 01 2007

Keywords

Links

Crossrefs

Cf. A058077, A125550, A126994, A126995, A126996, A126997, A126998.

Programs

  • Magma
    [Binomial(NthPrime(n+3), NthPrime(n)): n in [1..20]]; // G. C. Greubel, May 29 2019
  • Mathematica
    Table[Binomial[Prime[n+3], Prime[n]], {x, 1, 20}]
  • PARI
    vector(20, n, binomial(prime(n+3), prime(n))) \\ G. C. Greubel, May 29 2019
  • Sage
    [binomial(nth_prime(n+3), nth_prime(n)) for n in (1..20)] # G. C. Greubel, May 29 2019

A126995 a(n) = binomial(prime(n+2), 3).

Original entry on oeis.org

1, 10, 35, 165, 286, 680, 969, 1771, 3654, 4495, 7770, 10660, 12341, 16215, 23426, 32509, 35990, 47905, 57155, 62196, 79079, 91881, 113564, 147440, 166650, 176851, 198485, 209934, 234136, 333375, 366145, 419220, 437989, 540274, 562475, 632710, 708561, 762355
Offset: 0

Views

Author

Artur Jasinski, Jan 01 2007

Keywords

Links

Crossrefs

Cf. A008837, A058077, A125550, A126993, A126994, A126996, A126997, A126998.

Programs

  • Magma
    [Binomial(NthPrime(n), 3): n in [3..40]]; // Vincenzo Librandi, May 10 2017
  • Mathematica
    Table[Binomial[Prime[n + 2], Prime[2]], {n, 1, 40}]
Table[Binomial[Prime[n], 3], {n, 3, 40}] (* Vincenzo Librandi, May 10 2017 *)
  • PARI
    a(n)=binomial(prime(n+2),3) \\ Charles R Greathouse IV, May 10 2017
  • Sage
    [binomial(nth_prime(n+2), 3) for n in (1..40)] # G. C. Greubel, May 29 2019

Formula

a(n) ~ (n log n)^3 / 6. - Charles R Greathouse IV, May 10 2017

Extensions

Missing n=0 term added by N. J. A. Sloane, May 17 2020

A126997 a(n) = binomial(prime(4+n), prime(4)).

Original entry on oeis.org

1, 330, 1716, 19448, 50388, 245157, 1560780, 2629575, 10295472, 22481940, 32224114, 62891499, 154143080, 341149446, 436270780, 869648208, 1329890705, 1629348612, 2898753715, 4151918628, 6890268572, 12846240784, 17199613200, 19813501785, 26075972546, 29796772356, 38620298376
Offset: 0

Views

Author

Artur Jasinski, Jan 01 2007

Keywords

Links

Crossrefs

Cf. A058077, A125550, A126993, A126993, A008837, A126995, A126996, A126998.

Programs

  • Magma
    [Binomial(NthPrime(n+4), 7): n in [1..30]]; // Vincenzo Librandi, May 21 2019
  • Mathematica
    Table[Binomial[Prime[n + 4], Prime[4]], {n, 1, 30}]
  • PARI
    vector(30, n, binomial(prime(n+4), prime(4)) ) \\ G. C. Greubel, May 29 2019
  • Sage
    [binomial(nth_prime(n+4), 7) for n in (1..30)] # G. C. Greubel, May 29 2019

Extensions

Terms a(24) onward added by G. C. Greubel, May 30 2019
Missing n=0 term added by N. J. A. Sloane, May 17 2020

A126998 a(n) = binomial(prime(n+5), prime(5)).

Original entry on oeis.org

1, 78, 12376, 75582, 1352078, 34597290, 84672315, 854992152, 3159461968, 5752004349, 17417133617, 76223753060, 279871768995, 418094152866, 1285063345176, 2560547383576, 3558497368608, 9036996468045, 16141841823510, 36519676207704, 99468442390512, 158940114100040
Offset: 0

Views

Author

Artur Jasinski, Jan 01 2007

Keywords

Links

Crossrefs

Cf. A058077, A125550, A126993, A126993, A008837, A126995, A126996, A126997.

Programs

  • Magma
    [Binomial(NthPrime(n+5), NthPrime(5)): n in [1..30]]; // G. C. Greubel, May 29 2019
  • Mathematica
    Table[Binomial[Prime[n+5], Prime[5]], {n, 1, 30}]
  • PARI
    vector(30, n, binomial(prime(n+5), prime(5)) ) \\ G. C. Greubel, May 29 2019
  • Sage
    [binomial(nth_prime(n+5), nth_prime(5)) for n in (1..30)] # G. C. Greubel, May 29 2019

Extensions

Terms a(19) onward added by G. C. Greubel, May 30 2019
Missing n=0 term added by N. J. A. Sloane, May 17 2020

A126994 a(n) = binomial(prime(n+5), prime(n)).

Original entry on oeis.org

1, 78, 680, 11628, 245157, 34597290, 206253075, 15905368710, 244662670200, 960566918220, 4568648125690, 462525733568080, 8964377427999630, 6236646703759395, 972963730453314600, 5300174441392685400
Offset: 0

Views

Author

Artur Jasinski, Jan 01 2007

Keywords

Links

Crossrefs

Cf. A058077, A125550, A126993, A126995, A126996, A126997, A126998.

Programs

  • Magma
    [Binomial(NthPrime(n+5), NthPrime(n)): n in [1..20]]; // G. C. Greubel, May 29 2019
  • Mathematica
    Table[Binomial[Prime[n+5], Prime[n]], {n, 0, 20}]
  • PARI
    vector(20, n, binomial(prime(n+5), prime(n))) \\ G. C. Greubel, May 29 2019
  • Sage
    [binomial(nth_prime(n+5), nth_prime(n)) for n in (1..20)] # G. C. Greubel, May 29 2019

Extensions

Missing n=0 term added by N. J. A. Sloane, May 17 2020
Showing 1-5 of 5 results.

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

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