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A167552 A triangle related to the a(n) formulas of the rows of the ED1 array A167546. 8

%I

%S 1,3,-2,5,-5,2,7,-7,14,-8,9,-6,63,-66,24,11,0,209,-264,308,-144,13,13,

%T 559,-689,2236,-2132,720,15,35,1281,-1255,11640,-14980,14064,-5760,17,

%U 68,2618,-1360,47753,-68068,145452,-126480,40320

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

%C The a(n) formulas given below correspond to the first ten rows of the ED1 array A167546.

%C 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 Row 1: a(n) = 1.

%e Row 2: a(n) = 3*n - 2.

%e Row 3: a(n) = 5*n^2 - 5*n + 2.

%e Row 4: a(n) = 7*n^3 - 7*n^2 + 14*n - 8.

%e Row 5: a(n) = 9*n^4 - 6*n^3 + 63*n^2 - 66*n + 24.

%e Row 6: a(n) = 11*n^5 + 0*n^4 + 209*n^3 - 264*n^2 + 308*n - 144.

%e Row 7: a(n) = 13*n^6 +13*n^5 +559*n^4 -689*n^3 +2236*n^2 -2132*n +720.

%e 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 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 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 A167546 is the ED1 array.

%Y A000012, A016777, 2*A005891, A167547, A167548 and A167549 are the first sixth ED1 array rows.

%Y A098557 and A167553 equal the first two right hand columns of this triangle.

%Y A005408, A167554 and A167555, A168302 and A168303 equal the first five left hand columns of this triangle.

%Y A000142 equals the row sums.

%Y Cf. A003148 and A007318.

%K sign,tabl

%O 1,2

%A _Johannes W. Meijer_, Nov 10 2009, Nov 23 2009

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Last modified January 26 11:20 EST 2020. Contains 331279 sequences. (Running on oeis4.)