cp's OEIS Frontend

A167552 A triangle related to the a(n) formulas of the rows of the ED1 array A167546.

%I A167552 #7 Jun 16 2016 23:27:41
%S A167552 1,3,-2,5,-5,2,7,-7,14,-8,9,-6,63,-66,24,11,0,209,-264,308,-144,13,13,
%T A167552 559,-689,2236,-2132,720,15,35,1281,-1255,11640,-14980,14064,-5760,17,
%U A167552 68,2618,-1360,47753,-68068,145452,-126480,40320
%N A167552 A triangle related to the a(n) formulas of the rows of the ED1 array A167546.
%C A167552 The a(n) formulas given below correspond to the first ten rows of the ED1 array A167546.
%C A167552 The recurrence relations of the a(n) formulas for the left hand triangle columns, see the cross-references below, lead to the sequences A003148 and A007318.
%e A167552 Row 1: a(n) = 1.
%e A167552 Row 2: a(n) = 3*n - 2.
%e A167552 Row 3: a(n) = 5*n^2 - 5*n + 2.
%e A167552 Row 4: a(n) = 7*n^3 - 7*n^2 + 14*n - 8.
%e A167552 Row 5: a(n) = 9*n^4 - 6*n^3 + 63*n^2 - 66*n + 24.
%e A167552 Row 6: a(n) = 11*n^5 + 0*n^4 + 209*n^3 - 264*n^2 + 308*n - 144.
%e A167552 Row 7: a(n) = 13*n^6 +13*n^5 +559*n^4 -689*n^3 +2236*n^2 -2132*n +720.
%e A167552 Row 8: a(n) = 15*n^7 + 35*n^6 + 1281*n^5 - 1255*n^4 + 11640*n^3 - 14980*n^2 + 14064*n - 5760.
%e A167552 Row 9: a(n) = 17*n^8 + 68*n^7 + 2618*n^6 - 1360*n^5 + 47753*n^4 - 68068*n^3 + 145452*n^2 - 126480*n + 40320.
%e A167552 Row 10: a(n) = 19*n^9 + 114*n^8 + 4902*n^7 + 684*n^6 + 163419*n^5 - 224694*n^4 + 1048268*n^3 - 1308264*n^2 + 1081632*n - 403200.
%Y A167552 A167546 is the ED1 array.
%Y A167552 A000012, A016777, 2*A005891, A167547, A167548 and A167549 are the first sixth ED1 array rows.
%Y A167552 A098557 and A167553 equal the first two right hand columns of this triangle.
%Y A167552 A005408, A167554 and A167555, A168302 and A168303 equal the first five left hand columns of this triangle.
%Y A167552 A000142 equals the row sums.
%Y A167552 Cf. A003148 and A007318.
%K A167552 sign,tabl
%O A167552 1,2
%A A167552 _Johannes W. Meijer_, Nov 10 2009, Nov 23 2009