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A164551 a(n) = 10*a(n-1)-19*a(n-2) for n > 1; a(0) = 1, a(1) = 9. 3
1, 9, 71, 539, 4041, 30169, 224911, 1675899, 12485681, 93014729, 692919351, 5161913659, 38453668921, 286460329689, 2133983587391, 15897089609819, 118425207937761, 882207376791049, 6571994817093031, 48958008011900379 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A154235. Inverse binomial transform of A164552.

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (10, -19).

FORMULA

a(n) = ((3+2*sqrt(6))*(5+sqrt(6))^n+(3-2*sqrt(6))*(5-sqrt(6))^n)/6.

G.f.: (1-x)/(1-10*x+19*x^2).

MATHEMATICA

LinearRecurrence[{10, -19}, {1, 9}, 30] (* Harvey P. Dale, Dec 26 2015 *)

PROG

(MAGMA) [ n le 2 select 8*n-7 else 10*Self(n-1)-19*Self(n-2): n in [1..20] ];

CROSSREFS

Cf. A154235, A164552.

Sequence in context: A226711 A231420 A081900 * A178869 A057080 A001706

Adjacent sequences:  A164548 A164549 A164550 * A164552 A164553 A164554

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Aug 15 2009

STATUS

approved

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Last modified December 5 19:19 EST 2016. Contains 278770 sequences.