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A083332 a(n) = 10*a(n-2)-16*a(n-4) for n>3, a(0)=1, a(1)=5, a(2)=14, a(3)=34. 4
1, 5, 14, 34, 124, 260, 1016, 2056, 8176, 16400, 65504, 131104, 524224, 1048640, 4194176, 8388736, 33554176, 67109120, 268434944, 536871424, 2147482624, 4294968320, 17179867136, 34359740416, 137438949376, 274877911040 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n)/A083333(n) converges to 3.

LINKS

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (0, 10, 0, -16).

FORMULA

G.f.: (1+5*x+4*x^2-16*x^3)/(1-10*x^2+16*x^4)

a(n) = A016116(n)*A014551(n+1). - R. J. Mathar, Jul 08 2009

MATHEMATICA

CoefficientList[Series[(1+5x+4x^2-16x^3)/(1-10x^2+16x^4), {x, 0, 30}], x]

CROSSREFS

Cf. A147590, A081342 (bisections). [From R. J. Mathar, Jul 13 2009]

Cf. A199710. [From Bruno Berselli, Nov 11 2011]

Sequence in context: A094584 A023515 A047860 * A101015 A076858 A001215

Adjacent sequences:  A083329 A083330 A083331 * A083333 A083334 A083335

KEYWORD

nonn,easy

AUTHOR

Mario Catalani (mario.catalani(AT)unito.it), Apr 24 2003

STATUS

approved

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Last modified November 21 12:34 EST 2017. Contains 295001 sequences.