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 A242496 a(n)=sum_{j=0..n} sum_{i=0..j} F(i)*L(j), where F(n)=A000045(n) and L(n)=A000032(n). 2
 0, 1, 7, 23, 72, 204, 564, 1521, 4059, 10747, 28336, 74504, 195576, 512865, 1344063, 3521007, 9221688, 24148468, 63230860, 165555665, 433454835, 1134839091, 2971111392, 7778574288, 20364739632, 53315851969, 139583151799, 365434146311, 956720165544 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (4,-2,-6,4,2,-1). FORMULA a(n) = A001519(n+2) - A000032(n+2) + A059841(n). a(n) = L(n)*F(n+3) - L(n+2) + (1-3*(-1)^n)/2. - Colin Barker, May 18 2014 G.f.: -x*(3*x^2-3*x-1) / ((x-1)*(x+1)*(x^2-3*x+1)*(x^2+x-1)). - Colin Barker, May 16 2014 EXAMPLE For n=5, 0*(2+1+3+4+7+11) + 1*(1+3+4+7+11) + 1*(3+4+7+11) + 2*(4+7+11) + 3*(7+11) + 5*11 = 204 = F(2*5+3) - L(n+2) + 0 = 233-29 = 204. MAPLE A242496 := proc(n)     add(add(A000045(i)*A000032(j), i=0..j), j=0..n) ; end proc: # R. J. Mathar, May 17 2014 MATHEMATICA LinearRecurrence[{4, -2, -6, 4, 2, -1}, {0, 1, 7, 23, 72, 204}, 30] (* Harvey P. Dale, Oct 03 2020 *) PROG (PARI) F(n) = fibonacci(n) L(n) = if(n==0, 2, F(2*n)/F(n)) vector(30, n, sum(i=0, n-1, sum(j=i, n-1, F(i)*L(j)))) \\ Colin Barker, May 16 2014 CROSSREFS Cf. A190173, A000045, A000032, A242300. Sequence in context: A147972 A002223 A034563 * A048539 A240526 A018886 Adjacent sequences:  A242493 A242494 A242495 * A242497 A242498 A242499 KEYWORD nonn,easy AUTHOR J. M. Bergot, May 16 2014 EXTENSIONS Two terms corrected, and more terms added by Colin Barker, May 16 2014 Formula corrected by Colin Barker, May 17 2014 STATUS approved

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Last modified April 20 18:45 EDT 2021. Contains 343137 sequences. (Running on oeis4.)