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A163165 a(n) = 20*a(n-1)-96*a(n-2) for n > 1; a(0) = 1, a(1) = 10. 1
1, 10, 104, 1120, 12416, 140800, 1624064, 18964480, 223379456, 2646999040, 31495553024, 375799152640, 4492409962496, 53771480596480, 644158255529984, 7721102973337600, 92582866935873536, 1110431453277061120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A152106. Tenth binomial transform of powers of 4 interleaved with zeros.

LINKS

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

FORMULA

a(n) = (12^n+8^n)/2.

G.f.: (1-10*x)/((1-8*x)*(1-12*x)).

PROG

(MAGMA) [ n le 2 select 9*n-8 else 20*Self(n-1)-96*Self(n-2): n in [1..18] ];

CROSSREFS

Cf. A000302 (powers of 4), A152106.

Sequence in context: A036334 A190954 A163309 * A110957 A077671 A117832

Adjacent sequences:  A163162 A163163 A163164 * A163166 A163167 A163168

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Jul 22 2009

STATUS

approved

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Last modified November 26 23:13 EST 2014. Contains 250152 sequences.