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A179608 a(n) = (7 + (-1)^n + 6*n)*2^(n-3). 3
1, 3, 10, 24, 64, 144, 352, 768, 1792, 3840, 8704, 18432, 40960, 86016, 188416, 393216, 851968, 1769472, 3801088, 7864320, 16777216, 34603008, 73400320, 150994944, 318767104, 654311424, 1375731712, 2818572288, 5905580032 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This sequence belongs to a family of sequences with g.f. (1+x)/(1 - 2*x - (k+8)*x^2 - 2*k*x^3). Among the members of this family are several red king sequences, see A179596. For the sequence given above, which is not a red king sequence, k = -4.

Inverse binomial transform of A119916 (without the leading 0).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: (1+x)/(1 - 4*x^2 - 2*x + 8*x^3).

a(n) = 2*a(n-1) + 4*a(n-2) - 8*a(n-3) with a(1)=1, a(2)=3 and a(3)=10.

a(n) = (7 + (-1)^n + 6*n)*2^(n-3).

PROG

(MAGMA) [(7+(-1)^n+6*n)*2^(n-3): n in [0..30]]; // Vincenzo Librandi, Jul 18 2011

CROSSREFS

Sequence in context: A053208 A286209 A293797 * A192912 A168062 A176952

Adjacent sequences:  A179605 A179606 A179607 * A179609 A179610 A179611

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Jul 28 2010

STATUS

approved

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Last modified May 26 07:44 EDT 2019. Contains 323579 sequences. (Running on oeis4.)