0,5

Row sums are:

{1, 2, -3, 82, 2642, 1096482, -1161344798, 13598189404802, 633950903882665602,

301999235305843794118402, -782325471530406028574334585598,...},

m=2;q=3:

t(n,m)=If[m == 0, n!, Product[Product[1 - (i + 1)*(m + 1), {i, 0, k - 1}], {k, 1, n}]];

b(n,k,m)=If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])]

{1},

{1, 1},

{1, -5, 1},

{1, 40, 40, 1},

{1, -440, 3520, -440, 1},

{1, 6160, 542080, 542080, 6160, 1},

{1, -104720, 129015040, -1419165440, 129015040, -104720, 1},

{1, 2094400, 43865113600, 6755227494400, 6755227494400, 43865113600, 2094400, 1},

{1, -48171200, 20177952256000, -52825879006208000, 739562306086912000, -52825879006208000, 20177952256000, -48171200, 1},

{1, 1252451200, 12066415449088000, 631797512914247680000, 150367808073590947840000, 150367808073590947840000, 631797512914247680000, 12066415449088000, 1252451200, 1},

{1, -36321084800, 9098077248612352000, -10956632468958883266560000, 52153570552244284348825600000, -886610699388152833930035200000, 52153570552244284348825600000, -10956632468958883266560000, 9098077248612352000, -36321084800, 1}

t[n_, m_] = If[m == 0, n!, Product[Product[1 - (i + 1)*(m + 1), {i, 0, k - 1}], {k, 1, n}]];

b[n_, k_, m_] = If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])];

Table[Flatten[Table[Table[b[n, k, m], {k, 0, n}], {n, 0, 10}]], {m, 0, 15}]

Sequence in context: A156587 A058720 A015116 this_sequence A111820 A106238 A156952

Adjacent sequences: A156688 A156689 A156690 this_sequence A156692 A156693 A156694

sign,tabl,uned

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 13 2009