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.

A134351 Binomial transform of [1, 5, -1, 5, -1, 5, ...]. Inverse binomial transform of A134350.

Original entry on oeis.org

1, 6, 10, 18, 34, 66, 130, 258, 514, 1026, 2050, 4098, 8194, 16386, 32770, 65538, 131074, 262146, 524290, 1048578, 2097154, 4194306, 8388610, 16777218, 33554434, 67108866, 134217730, 268435458, 536870914, 1073741826, 2147483650
Offset: 1

Views

Author

Gary W. Adamson, Oct 21 2007

Keywords

Examples

			a(4) = 18 = (1, 3, 3, 1) dot (1, 5, -1, 5) = (1 + 15 - 3 + 5).

Links

Crossrefs

Cf. A134350.
Essentially the same as A133140, A089985, A052548.

Programs

Formula

a(n) = 2 + 2^(n+1) for n >= 2; a(1)=1. - Emeric Deutsch, Oct 24 2007
O.g.f.: (-1-3*x+6*x^2)/((1-x)*(-1+2*x)). - R. J. Mathar, Apr 02 2008

Extensions

More terms from Emeric Deutsch, Oct 24 2007
More terms from R. J. Mathar, Apr 02 2008

A134349 A007318^(-1) * (A007318*A124929 + A124929*A007318 - A007318).

Original entry on oeis.org

1, 2, 5, 2, 8, 13, 2, 12, 24, 49, 2, 26, 24, 29, 2, 16, 48, 64, 61, 2, 20, 80, 160, 160, 125, 2, 24, 120, 320, 480, 384, 253, 2, 28, 168, 560, 1120, 1344, 896, 509, 2, 32, 224, 896, 2240, 3584, 3584, 2048, 1021
Offset: 0

Views

Author

Gary W. Adamson, Oct 21 2007

Keywords

Comments

Row sums = A134350.
Right border = A036563 starting with "1": (1, 5, 13, 29, 61, 160, ...).

Examples

			First few rows of the triangle:
  1;
  2,  5;
  2,  8, 13;
  2, 12, 24,  29;
  2, 16, 48,  64,  61;
  2, 20, 80, 160, 160, 125;
  ...

Crossrefs

Cf. A124929, A134350, A036563.

Formula

Inverse binomial transform of (A007318*A124929 + A124929*A007318 - A007318).
Showing 1-2 of 2 results.

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