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A152429 (11^n+5^n)/2. 1
1, 8, 73, 728, 7633, 82088, 893593, 9782648, 107374753, 1179950408, 12973595113, 142680249368, 1569336258673, 17261966423528, 189877968549433, 2088639343496888, 22974941225731393, 252723895719373448 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081343 . Inverse binomial transform of A143079 .

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

a(n)=16*a(n-1)-55*a(n-2), n>1 ; a(0)=1, a(1)=8 . G.f.: (1-8*x)/(1-16*x+55*x^2). a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*8^(2k-n)*9^(n-k).

((8+sqrt9)^n+(8-sqrt9)^n)/2 [From Al Hakanson (hawkuu(AT)gmail.com), Dec 08 2008]

PROG

(MAGMA) [(11^n+5^n)/2: n in [0..20]]; // Vincenzo Librandi, Jun 01 2011

CROSSREFS

Sequence in context: A015577 A082764 A024104 * A176734 A195754 A137140

Adjacent sequences:  A152426 A152427 A152428 * A152430 A152431 A152432

KEYWORD

nonn,less

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 03 2008

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Last modified February 16 16:51 EST 2012. Contains 205938 sequences.