|
|
|
|
1, 15, 175, 1960, 25473, 375165, 5967170, 99883410, 1794863356, 34897858996, 729308423480, 16183109779200, 379985643499344, 9441352087296912, 247902890514328224, 6852200357138738400, 198716076620554542336
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
6,2
|
|
LINKS
|
|
|
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, 5) *(n-1)!): seq (a(n), n=6..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][[6]]*(n-1)!; Table[a[n], {n, 6, 25}] (* Jean-François Alcover, Feb 14 2014, after Maple *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|