10,2

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, 9) *(n-1)!): seq (a(n), n=10..26);

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][[10]]*(n-1)!; Table[a[n], {n, 10, 26}] (* Jean-François Alcover, Feb 14 2014, after Maple *)

Cf. A145153.

Sequence in context: A330389 A346324 A243570 * A027476 A062262 A137716

Adjacent sequences: A145148 A145149 A145150 * A145152 A145153 A145154

Alois P. Heinz, Oct 03 2008

approved