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.

A157334 First differences of A156799.

Original entry on oeis.org

1, 2, 1, 5, 1, 2, 1, 6, 1, 2, 1, 5, 1, 2, 1, 15, 1, 2, 1, 5, 1, 2, 1, 6, 1, 2, 1, 5, 1, 2, 1, 19, 1, 2, 1, 5, 1, 2, 1, 6, 1, 2, 1, 5, 1, 2, 1, 15, 1, 2, 1, 5, 1, 2, 1, 6, 1, 2, 1, 5, 1, 2, 1, 43, 1, 2, 1, 5, 1, 2, 1, 6, 1, 2, 1, 5, 1, 2, 1, 15, 1, 2, 1, 5, 1, 2, 1, 6, 1, 2, 1, 5, 1, 2, 1, 19
Offset: 0

Views

Author

Paul Curtz, Feb 27 2009

Keywords

Comments

For 1,2,1 see A131534. First of a family of four: second is 3,1,1,4,3,1,1,2,3=A157076, third is 9,10,9,14,4,1,10 (from 3's in A090822), fourth is 220,221,220,224, (from A157107). Many consequences.

A157140 A091411(k+3) replicated 2^k times, k= 0, 1, 2, 3, ...

Original entry on oeis.org

9, 19, 19, 47, 47, 47, 47, 98, 98, 98, 98, 98, 98, 98, 98, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441, 441
Offset: 0

Views

Author

Paul Curtz, Feb 24 2009

Keywords

Comments

Generated from the quadrisection b(n) = 4, 13, 23, 32, 51, 60, 70, 79, 102, 111, 121, 130,... of A156799 as follows:
1) b(n+1)-b(n) = 9, 10, 9, 19, 9, 10, 9, 23, 9, 10, 9, 19,..,
2) b(n+2)-b(n) = 19, 19, 28, 28, 19, 19, 32, 32, 19, 19, 28, 28,...,
3) b(n+4)-b(n) = 47, 47, 47, 47, 51, 51, 51, 51, 47, 47, 47, 47,...,
4) b(n+8)-b(n) = 98, 98, 98, 98, 98, 98, 98, 98, 122, 122, 122, 122, 122, 122, 122, 122, 98, .. .
The sum of neighbors at the first jump of b(n+2^k) is 9+10 = 19 (k=0), 19+28 = 47 (k=1), 47+51 = 98 (k=2), 98+122 = 220 (k=3), and in general A091411(k+3).
Showing 1-2 of 2 results.