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.

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A228151 Denominators of r(n) = r(n-1) + r(n-2) + B_(n-2), where B_n is the n-th Bernoulli number A027641(n)/A027642(n).

Original entry on oeis.org

1, 1, 1, 2, 3, 6, 5, 30, 105, 70, 35, 70, 231, 2310, 143, 30030, 15015, 10010, 85085, 170170, 373065, 25194, 323323, 1939938, 22309287, 14872858, 168245, 74364290, 15935205, 223092870, 1078282205, 588153930, 20056049013, 5142576670, 393255863, 9550499530
Offset: 0

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Author

Paul Curtz, Aug 13 2013

Keywords

Comments

r(n): 0, 0, 1, 1/2, 5/3, 13/6, 19/5, 179/30, 1028/105, 1103/70, 893/35,... = A227500(n)/a(n). a(0)=a(1)=1 is a choice.

Crossrefs

Cf. A227500: numerators of r(n), where a(n) is named c(n).

Programs

  • Magma
    t:=40; r:=[n le 2 select 0 else Self(n-1)+Self(n-2)+BernoulliNumber(n-3): n in [1..t]]; [n le 2 select 1 else Denominator(r[n]): n in [1..t]]; // Bruno Berselli, Sep 05 2013
  • PARI
    r(n) = if (n<=1, 0, r(n-1) + r(n-2) + bernfrac(n-2));
    a(n) = if (n<=1, 1, denominator(r(n))); \\ Michel Marcus, Aug 24 2013
    

Extensions

More terms from Michel Marcus, Aug 24 2013
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