A174675 - OEIS

%I #2 Mar 30 2012 17:34:39

%S 1,1,1,1,60,1,1,656,656,1,1,5832,16464,5832,1,1,49496,302486,302486,

%T 49496,1,1,419412,4933332,10171944,4933332,419412,1,1,3593036,

%U 76425506,280498526,280498526,76425506,3593036,1,1,31167600,1157982288

%N Sequence A154696 adjusted to leading one:t(n,m)=A154696(n,m)-A154696(n,0)+1

%C Row sums are:

%C 1, 2, 62, 1314, 28130, 703966, 20877434, 721034138, 28453293026,

%C 1263142713270, 62305874244266,...

%F t(n,m)=A154696(n,m)-A154696(n,0)+1

%e {1},

%e {1, 1},

%e {1, 60, 1},

%e {1, 656, 656, 1},

%e {1, 5832, 16464, 5832, 1},

%e {1, 49496, 302486, 302486, 49496, 1},

%e {1, 419412, 4933332, 10171944, 4933332, 419412, 1},

%e {1, 3593036, 76425506, 280498526, 280498526, 76425506, 3593036, 1},

%e {1, 31167600, 1157982288, 6978681888, 12117629472, 6978681888, 1157982288, 31167600, 1},

%e {1, 273237776, 17387745806, 164112248126, 449798124926, 449798124926, 164112248126, 17387745806, 273237776, 1},

%e {1, 2414712204, 260247533196, 3735760480536, 15279843395064, 23749342002264, 15279843395064, 3735760480536, 260247533196, 2414712204, 1}

%t Clear[t, p, q, n, m, a];

%t p[x_, n_] = 2^n*(1 - x)^(n + 1)*LerchPhi[x, -n, 1/2];

%t a = Table[CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x], {n, 0, 10}];

%t p = 2; q = 3;

%t t[n_, m_] := (p^(n - m)*q^m + p^m*q^(n - m))*a[[n + 1]][[m + 1]];

%t Table[Table[t[n, m] - t[n, 0] + 1, {m, 0, n}], {n, 0, 10}];

%t Flatten[%]

%Y A154690, A154692, A154693, A154694, A154695, A154696

%K nonn,tabl,uned

%O 0,5

%A _Roger L. Bagula_, Mar 26 2010