A023619 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A023619

Convolution of Lucas numbers and (F(2), F(3), F(4), ...).

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