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A164553 a(n) = 14*a(n-1)-43*a(n-2) for n > 1; a(0) = 1, a(1) = 11. 2
1, 11, 111, 1081, 10361, 98571, 934471, 8844041, 83634321, 790586731, 7471938431, 70611908601, 667273367881, 6305515080491, 59584456307991, 563045239850761, 5320501736667041, 50276078999755851, 475083531319899151 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A164552.

FORMULA

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

G.f.: (1-3*x)/(1-14*x+43*x^2).

PROG

(MAGMA) [ n le 2 select 10*n-9 else 14*Self(n-1)-43*Self(n-2): n in [1..19] ];

CROSSREFS

Cf. A164552.

Sequence in context: A143573 A058947 A101680 * A185000 A110437 A110444

Adjacent sequences:  A164550 A164551 A164552 * A164554 A164555 A164556

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 15 2009

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Last modified February 15 21:45 EST 2012. Contains 205860 sequences.