A081034 7th binomial transform of the periodic sequence (1,8,1,1,8,1...).

1, 15, 162, 1548, 13896, 120240, 1016352, 8457408, 69618816, 568707840, 4620206592, 37384915968, 301618907136, 2428188733440, 19516934725632, 156684026953728, 1256763510521856, 10073855853527040, 80709333444329472

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (14,-48).

Formula

a(n)=8*a(n-1)+7*6^(n-1) a(n)=(9/2)*8^n-(7/2)6^n.

a(0)=1, a(1)=15, a(n)=14*a(n-1)-48*a(n-2). - Harvey P. Dale, Jun 16 2013

G.f.: (x+1)/(48*x^2-14*x+1). - Harvey P. Dale, Jun 16 2013

Mathematica

RecurrenceTable[{a[0]==1, a[n]==8a[n-1]+7*6^(n-1)}, a, {n, 20}] (* or *) LinearRecurrence[{14, -48}, {1, 15}, 20] (* Harvey P. Dale, Jun 16 2013 *)

Crossrefs

Cf. A081033, A081035.

Sequence in context: A323292 A067361 A014920 * A279157 A016243 A164599

Adjacent sequences: A081031 A081032 A081033 * A081035 A081036 A081037

Keyword

easy,nonn

Author

Paul Barry, Mar 03 2003

Status

approved