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A023619 Convolution of Lucas numbers and (F(2), F(3), F(4), ...). 1
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; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..34.

Index entries for linear recurrences with constant coefficients, signature (2,1,-2,-1).

FORMULA

G.f.: x*(1+3*x+2*x^2)/(1-x-x^2)^2. - Ralf Stephan, Apr 28 2004

a(n) = (n+1)*Sum_{k=1..n+1} binomial(k,n+1-k)*(k-1)/k. - Vladimir Kruchinin, Sep 26 2011

a(n) = 2*A001629(n-1) + 3*A001629(n) + A001629(n+1). - R. J. Mathar, Oct 17 2011

a(n) = (n-1)*A000045(n) + n*A000045(n+1). - Michael Schirle, May 17 2018

CROSSREFS

Sequence in context: A273077 A160430 A023617 * A020576 A093810 A093817

Adjacent sequences:  A023616 A023617 A023618 * A023620 A023621 A023622

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified October 18 10:17 EDT 2018. Contains 316321 sequences. (Running on oeis4.)