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A081043
8th binomial transform of (1,7,0,0,0,0,0,...).
3
1, 15, 176, 1856, 18432, 176128, 1638400, 14942208, 134217728, 1191182336, 10468982784, 91268055040, 790273982464, 6803228196864, 58274116272128, 496979255754752, 4222124650659840, 35747322042253312, 301741175033823232
OFFSET
0,2
FORMULA
a(n) = 16*a(n-1) - 64*a(n-2), a(0)=1, a(1)=15.
a(n) = (7n+8)*8^(n-1).
a(n) = Sum_{k=0..n} (k+1)*7^k*binomial(n, k).
G.f.: (1-x)/(1-8x)^2.
MATHEMATICA
LinearRecurrence[{16, -64}, {1, 15}, 20] (* or *) Table[(7n+8)8^(n-1), {n, 0, 20}] (* Harvey P. Dale, Feb 22 2012 *)
PROG
(Magma) I:=[1, 15]; [n le 2 select I[n] else 16*Self(n-1)-64*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Feb 23 2012
CROSSREFS
Sequence in context: A024197 A210782 A071535 * A155000 A009146 A012800
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Mar 04 2003
STATUS
approved