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 1-2 of 2 results.

A010851 Constant sequence: a(n) = 12.

Original entry on oeis.org

12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A142069.

Programs

Formula

G.f.: 12/(1-x). - Vincenzo Librandi, Jan 19 2012

A144459 a(n) = (3*n+1)*(5*n+1).

Original entry on oeis.org

1, 24, 77, 160, 273, 416, 589, 792, 1025, 1288, 1581, 1904, 2257, 2640, 3053, 3496, 3969, 4472, 5005, 5568, 6161, 6784, 7437, 8120, 8833, 9576, 10349, 11152, 11985, 12848, 13741, 14664, 15617, 16600, 17613, 18656, 19729, 20832, 21965, 23128, 24321, 25544, 26797, 28080
Offset: 0

Views

Author

Paul Curtz, Oct 08 2008

Keywords

Comments

This appears in a "diagonal" scan through the numerators of the fractions of the hydrogen spectrum: A005563(4), A061037(9), A061039(13), etc.
a(n) mod 9 is a sequence of period length 9: repeat 1, 6, 5, 7, 3, 2, 4, 0, 8 (a permutation of A142069).

Links

Crossrefs

Cf. A001622, A005563, A016777, A016861, A061037, A061039, A131579, A142069.

Programs

Formula

a(n) = A016777(n)*A016861(n).
a(n) mod 10 = A131579(n+7).
G.f.: (1+21*x+8*x^2) / (1-x)^3 . - R. J. Mathar, Jul 01 2011
a(0)=1, a(1)=24, a(2)=77, a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). - Harvey P. Dale, May 02 2015
E.g.f.: (1 + 23*x + 15*x^2)*exp(x). - G. C. Greubel, Sep 20 2018
Sum_{n>=0} 1/a(n) = sqrt(2 + 3/sqrt(5) - sqrt(3 + 6/sqrt(5)))*Pi/(2*sqrt(6)) + sqrt(5)*log(phi)/4 + 5*log(5)/8 - 3*log(3)/4, where phi is the golden ratio (A001622). - Amiram Eldar, Sep 17 2023
Showing 1-2 of 2 results.

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

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