A145146 4th column of A145142.

1, 10, 85, 735, 8449, 112644, 1605680, 23932700, 391910596, 7073468688, 138120962616, 2862132655200, 62993944853904, 1476042415885824, 36728281476425088, 964322664638298624, 26615080195964032896

Offset

5,2

Links

Table of n, a(n) for n=5..21.

Maple

row:= proc(n) option remember; local f, i, x; f:= unapply (simplify (sum ('cat (a||i) *x^i', 'i'=0..n-1) ), x); unapply (subs (solve ({seq(f(i+1)= coeftayl (x/ (1-x-x^4)/ (1-x)^i, x=0, n), i=0..n-1)}, {seq (cat (a||i), i=0..n-1)}), sum ('cat (a||i) *x^i', 'i'=0..n-1) ), x); end: a:= n-> `if` (n=0, 0, coeftayl (row(n)(x), x=0, 4) *(n-1)!): seq (a(n), n=5..25);

Mathematica

row[n_] := row[n] = Module[{f, a, eq}, f = Function[x, Sum[a[k]*x^k, {k, 0, n-1}]]; eq = Table[f[k+1] == SeriesCoefficient[x/(1-x-x^4)/(1-x)^k, {x, 0, n}], {k, 0, n-1}]; List @@ f[1] /. Solve[eq] // First]; a[n_] := row[n][[5]]*(n-1)!; Table[a[n], {n, 5, 25}] (* Jean-François Alcover, Feb 14 2014, after Maple *)

Crossrefs

Cf. A145153.

Sequence in context: A000454 A347003 A346923 * A252981 A184122 A228123

Adjacent sequences: A145143 A145144 A145145 * A145147 A145148 A145149

Keyword

nonn

Author

Alois P. Heinz, Oct 03 2008

Status

approved