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Search: id:A165147
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A165147 a(n) = (3*7^n-3^n)/2. +0
2
1, 9, 69, 501, 3561, 25089, 176109, 1234221, 8643921, 60520569, 423683349, 2965901541, 20761665081, 145332718449, 1017332217789, 7121335090461, 49849374331041, 348945706410729, 2442620203155429, 17098342196928981 (list; graph; listen)
OFFSET

0,2

COMMENT

Partial sums are in A016138.

Binomial transform of A016129. Inverse binomial transform of A165148.

FORMULA

a(n) = 10*a(n-1)-21*a(n-2) for n > 1; a(0) = 1, a(1) = 9.

G.f.: (1-x)/((1-3*x)*(1-7*x)).

PROGRAM

(MAGMA) [ (3*7^n-3^n)/2: n in [0..19] ];

CROSSREFS

Cf. A016138, A016129, A165148.

Sequence in context: A089379 A072258 A125372 this_sequence A075045 A081616 A126530

Adjacent sequences: A165144 A165145 A165146 this_sequence A165148 A165149 A165150

KEYWORD

nonn

AUTHOR

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

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.


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