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A163473 a(n) = 14*a(n-1)-46*a(n-2) for n > 1; a(0) = 3, a(1) = 24. 2
3, 24, 198, 1668, 14244, 122688, 1062408, 9230064, 80350128, 700318848, 6108357984, 53302344768, 465248359488, 4061569173504, 35460543892608, 309615432515328, 2703431036154624, 23605724610459648, 206122316883322368 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Binomial transform of A163472. Inverse binomial transform of A163474.

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = ((3+sqrt(3))*(7+sqrt(3))^n+(3-sqrt(3))*(7-sqrt(3))^n)/2.

G.f.: (3-18*x)/(1-14*x+46*x^2).

PROG

(MAGMA) [ n le 2 select 21*n-18 else 14*Self(n-1)-46*Self(n-2): n in [1..19] ];

CROSSREFS

Cf. A163472, A163474.

Sequence in context: A037769 A037657 A074580 * A063979 A073978 A000279

Adjacent sequences:  A163470 A163471 A163472 * A163474 A163475 A163476

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Aug 11 2009

STATUS

approved

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Last modified June 18 19:06 EDT 2013. Contains 226355 sequences.