OFFSET
0,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..175
Index entries for linear recurrences with constant coefficients, signature (127, -5334, 94488, -755904, 2731008, -4161536, 2097152).
FORMULA
G.f.: -(7864320*x^12 -12132352*x^11 +4458752*x^10 -24624*x^9 +211146*x^8 +332009*x^7 +946454*x^6 -1548182*x^5 +587030*x^4 -84318*x^3 +5084*x^2 -125*x+1) / Product_{j=0..6} (2^j*x-1).
a(n) = [x^2^(n-1)] 1/(1-x) * 1/Product_{j=0..5} (1-x^(2^j)) for n>0.
MAPLE
a:= n-> `if`(n<7, [1, 2, 4, 10, 36, 202, 1828][n+1], (Matrix(7, (i, j)-> `if`(i=j-1, 1, `if`(i=7, [2097152, -4161536, 2731008, -755904, 94488, -5334, 127][j], 0)))^(n-6). <<1828, 27337, 664665, 23693265, 1092226081, 58686573121, 3431048928385>>)[1, 1]): seq(a(n), n=0..20);
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Mar 26 2012
STATUS
approved