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A155000 a(n)=8*a(n-1)+56*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=15 2
1, 1, 15, 176, 2248, 27840, 348608, 4347904, 54305280, 677924864, 8464494592, 105679749120, 1319449690112, 16473663471616, 205678490419200, 2567953077764096, 32061620085587968, 400298333039493120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (8, 56).

FORMULA

a(n)=Sum_{k, 0<=k<=n}A155112(n,k)*7^(n-k). [From Philippe Deléham, Jan 27 2009]

a(n)=(11/24)*sqrt(2)*{[4+6*sqrt(2)]^(n-1)-[4-6*sqrt(2)]^(n-1)}+(1/2)*{[4+6*sqrt(2)]^(n-1)+[4-6*sqrt(2)]^(n-1)}+7/8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jan 26 2009]

G.f.: (49*x^2+7*x-1)/(56*x^2+8*x-1). - Harvey P. Dale, Dec 11 2012

MATHEMATICA

Join[{1}, LinearRecurrence[{8, 56}, {1, 15}, 20]] (* Harvey P. Dale, Dec 11 2012 *)

CROSSREFS

Sequence in context: A210782 A071535 A081043 * A009146 A012800 A016216

Adjacent sequences:  A154997 A154998 A154999 * A155001 A155002 A155003

KEYWORD

nonn

AUTHOR

Philippe Deléham, Jan 18 2009

EXTENSIONS

More terms from Philippe Deléham, Jan 27 2009

STATUS

approved

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Last modified April 24 22:03 EDT 2019. Contains 322446 sequences. (Running on oeis4.)