A145149 7th column of A145142.

1, 28, 546, 9450, 165693, 3065238, 59919431, 1226978753, 26377959608, 598190993400, 14328713682920, 361513209493800, 9581318478006976, 266382420824204560, 7761376103890530800, 236610865058490439440, 7532969497593532001856, 250026557590986469841856

Offset: 8

Author

Alois P. Heinz, Oct 03 2008

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 8..100

Crossrefs

Cf. A145153.

Programs

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, 7) *(n-1)!): seq (a(n), n=8..26);

Mathematica

row[n_] := row[n] = Module[{f, i, x, a}, f = Function[Sum[a[i]*#^i, {i, 0, n-1}]]; Function[x, Sum[a[i]*x^i, {i, 0, n-1}] /. First @ Solve[Table[f[i+1] == SeriesCoefficient[x/(1-x-x^4)/(1-x)^i, {x, 0, n}], {i, 0, n-1}]]]]; a[n_] := If[n == 0, 0, SeriesCoefficient[row[n][x], {x, 0, 7}]*(n-1)!]; Table[a[n], {n, 8, 26}] (* Jean-François Alcover, Feb 13 2014, after Maple *)

Extensions

More terms from Vincenzo Librandi, Feb 15 2014