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A103325
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Fifth powers of Lucas numbers.
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5
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32, 1, 243, 1024, 16807, 161051, 1889568, 20511149, 229345007, 2535525376, 28153056843, 312079600999, 3461619737632, 38387392786601, 425733547012443, 4721411479245824, 52361450147627807
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (8,40,-60,-40,8,1).
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FORMULA
| a(n) = (A000032(n))^5 = A000032(n)*A099923(n).
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]
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PROG
| (MAGMA) [ Lucas(n)^5 : n in [0..120]]; // Vincenzo Librandi, Apr 14 2011
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CROSSREFS
| Fifth row of array A103325.
Sequence in context: A176341 A014777 A134203 * A037932 A070631 A070623
Adjacent sequences: A103322 A103323 A103324 * A103326 A103327 A103328
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KEYWORD
| nonn
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AUTHOR
| Ralf Stephan, Feb 03 2005
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