cp's OEIS Frontend

A161856 Triangle read by rows in which row n lists the coefficients of the interpolating polynomial for its divisors of n.

%I A161856 #3 Mar 30 2012 18:51:04
%S A161856 1,1,1,1,2,1,1,1,1,4,1,1,0,2,1,6,1,1,1,1,1,2,4,1,1,2,0,1,10,1,1,0,0,1,
%T A161856 1,1,12,1,1,4,-2,1,2,0,8,1,1,1,1,1,1,16,1,1,0,2,-4,12,1,18,1,1,1,-2,7,
%U A161856 -11,1,2,2,8,1,1,8,-6,1,22,1,1,0,0,1,-3,8,-12,1,4,16,1,1,10,-8,1,2,4,8,1,1
%N A161856 Triangle read by rows in which row n lists the coefficients of the interpolating polynomial for its divisors of n.
%C A161856 EDP(n,x) = SUM(a(A006218(n)-1+i)*A007318(x,i-1): 1<=i<=A000005(n)) is the interpolating polynomial for the divisors of n, see also A161700;
%C A161856 A000005(n) = length of n-th row, i.e. same length as n-th row in A027750;
%C A161856 sum of n-th row, n>1: A161857(n) = SUM(a(A006218(n-1)+i): 1<=i<=A000005(n));
%C A161856 a(A006218(n)+1) = 1.
%H A161856 R. Zumkeller, <a href="/A161856/b161856.txt">Table of rows 1..1000, flattened</a>
%H A161856 R. Zumkeller, <a href="/A161700/a161700.txt">Enumerations of Divisors</a>
%e A161856 1; 1,1; 1,2; 1,1,1; 1,4; 1,1,0,2; 1,6; 1,1,1,1; 1,2,4; ... .
%Y A161856 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, A161702, A161703, A000127, A161704, A161706, A161707, A161708, A161710, A080856, A161711, A161712, A161713, A006261, A161715.
%K A161856 sign,tabf
%O A161856 1,5
%A A161856 _Reinhard Zumkeller_, Jun 20 2009