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A023619
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Convolution of Lucas numbers and (F(2), F(3), F(4), ...).
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1
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1, 5, 13, 29, 60, 118, 225, 419, 767, 1385, 2474, 4380, 7697, 13441, 23345, 40357, 69480, 119186, 203793, 347455, 590851, 1002385, 1696918, 2867064, 4835425, 8141693, 13687765, 22979309, 38527572, 64517230, 107915649, 180314075, 300981767, 501929081
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,1,-2,-1).
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FORMULA
| G.f.: [x(1+3x+2x^2)]/[(1-x-x^2)^2]. - Ralf Stephan, Apr 28 2004
a(n) = (n+1)*sum(k=1..n+1, C(k,n+1-k)*(k-1)/k) - Vladimir Kruchinin, 26 Sep 2011
a(n) = 2*A001629(n-1) +3*A001629(n)+A001629(n+1). - R. J. Mathar, Oct 17 2011
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CROSSREFS
| Sequence in context: A162329 A160430 A023617 * A020576 A093810 A093817
Adjacent sequences: A023616 A023617 A023618 * A023620 A023621 A023622
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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