# [seqfan] offset error in A155122 and others ?

Simon Plouffe simon.plouffe at gmail.com
Sun Nov 8 06:26:25 CET 2009

```
Hello,

just a little glitch, there is an offset
error in sequence A155122,

also there are * errors in the formula :

it should read : 16+ 80*n + 140*n^2 + 100*n^3 + 24*n^4.

other lines are faulty as well.

I retyped the whole bunch :

%I A155122
%S A155122
0,16,360,1920,6160,15120,31416,58240,99360,159120,242440,354816,502320,
%T A155122
691600,929880,1224960,1585216,2019600,2537640,3149440,3865680,4697616,
%U A155122
5657080,6756480,8008800,9427600,11027016,12821760,14827120,17058960
%N A155122 Polynomial function: f(n)=16+ 80 n + 140 *n^2 + 100*n^3 + 24*
n^4.
%C A155122 Middle function 5th down in the triangle from A142463 =f[n].
%C A155122 {{1},
%C A155122 {1, 1},
%C A155122 {1, 2*n, 1},
%C A155122 {1, f[n], f[n], 1},
%C A155122 {1, g[n], 6 + 24 *(n - 1) + 28*(n - 1)^2 + 8* ( n - 1)^3,
g[n], 1},
%C A155122 {1, h[n], k[n - 1] - h[n] - 1, k[n - 1] - h[n] - 1, h[n], 1}}
%C A155122 f[n_]=3*n^2 - (n - 1)^2;
%C A155122 g[n_]=-2 + 2 *n + 2* n^2 + 2 n^3;
%C A155122 h[n_]=-3 + 2*n + 2*n^2 + 2*n^3 + 2*n^4;
%C A155122 k[n_]=16+ 80*n + 140 *n^2 + 100*n^3 + 24* n^4;
%C A155122 These functions and the triangles they make are general
Pascal-Sierpinski
%C A155122 functions.
%F A155122 f(n)=16+ 80*n + 140 *n^2 + 100*n^3 + 24* n^4.
%t A155122 Table[16+ 80*n + 140 *n^2 + 100*n^3 + 24* n^4, {n, -1, 30}]
%Y A155122 A142463
%Y A155122 Adjacent sequences: A155119 A155120 A155121 this_sequence
A155123 A155124
A155125
%Y A155122 Sequence in context: A136269 A010368 A053103 this_sequence
A094101 A034673
A000488
%K A155122 nonn,uned
%O A155122 -1,2
%A A155122 Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 20 2009