login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A195838 Triangle read by rows which arises from A195828, in the same way as A175003 arises from A195310. Column k starts at row A001082(k+1). 12

%I #14 Mar 30 2012 17:34:07

%S 1,1,1,1,1,1,2,1,3,1,4,1,-1,4,1,-1,4,2,-1,5,3,-1,7,4,-1,10,4,-2,12,4,

%T -3,13,5,-4,14,7,-4,-1,16,10,-4,-1,21,12,-5,-1,27,13,-7,-1,32,14,-10,

%U -1,35,16,-12,-2,1,38,21,-13,-3,1,44,32,-14,-4,1

%N Triangle read by rows which arises from A195828, in the same way as A175003 arises from A195310. Column k starts at row A001082(k+1).

%C The sum of terms of row n is equal to the leftmost term of row n+1. This sequence is related to the generalized octagonal numbers A001082, A195828 and A195848 in the same way as A175003 is related to the generalized pentagonal numbers A001318, A195310 and A000041. See comments in A195825.

%e Written as a triangle:

%e . 1;

%e . 1;

%e . 1;

%e . 1;

%e . 1, 1;

%e . 2, 1;

%e . 3, 1;

%e . 4, 1, -1;

%e . 4, 1, -1;

%e . 4, 2, -1;

%e . 5, 3, -1;

%e . 7, 4, -1;

%e . 10, 4, -2;

%e . 12, 4, -3;

%e . 13, 5, -4;

%e . 14, 7, -4, -1;

%e . 16, 10, -4, -1;

%e . 21, 12, -5, -1;

%e . 27, 13, -7, -1;

%e . 32, 14, -10, -1;

%e . 35, 16, -12, -2, 1;

%e . 38, 21, -13, -3, 1;

%Y Row sums give A195848.

%Y Cf. A001082, A175003, A195828, A195836, A195837.

%K sign,tabf

%O 1,7

%A _Omar E. Pol_, Sep 24 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 13:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)