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Search: id:A103325
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A103325 Fifth powers of Lucas numbers. +0
4
32, 1, 243, 1024, 16807, 161051, 1889568, 20511149, 229345007, 2535525376, 28153056843, 312079600999, 3461619737632, 38387392786601, 425733547012443, 4721411479245824, 52361450147627807 (list; graph; listen)
OFFSET

0,1

FORMULA

L(5n) + 5(-1)^n*L(3n) + 10L(n), L(n) = A000032, the Lucas numbers.

G.f.: (32-255x-1045x^2+960x^3+235x^4-x^5)/((1-x-x^2)(1+4x-x^2)/(1-11x-x^2)). [T. Mansour, Australas. J. Comb. 30 (2004), 207] [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 26 2008]

CROSSREFS

Fifth row of array A103325. Equals A000032(n)*A099923(n).

Sequence in context: A086820 A014777 A134203 this_sequence A037932 A070631 A070623

Adjacent sequences: A103322 A103323 A103324 this_sequence A103326 A103327 A103328

KEYWORD

nonn

AUTHOR

Ralf Stephan, Feb 03 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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