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 A208481 Diagonal sums of triangle A185384. 2
 1, 2, 6, 19, 60, 188, 589, 1846, 5786, 18135, 56840, 178152, 558377, 1750106, 5485310, 17192459, 53885860, 168892996, 529356757, 1659148590, 5200224626, 16298923631, 51085276240, 160115201936, 501844754065, 1572918462066, 4929955864374, 15451827549123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,0,1,1). FORMULA a(n) = Sum_{k=0..floor(n/2)} binomial(n-k,k)*F(2*n-3*k+1), where F(n) are the Fibonacci numbers (A000045). G.f.: (1 - x)/(1 - 3*x - x^3 - x^4). a(n) = 3*a(n-1) + a(n-3) + a(n-4). MATHEMATICA Table[Sum[Binomial[n-k, k]Fibonacci[2n-3k+1], {k, 0, Floor[n/2]}], {n, 0, 100}] PROG (Maxima) makelist(sum(binomial(n-k, k)*fib(2*n-3*k+1), k, 0, floor(n/2)), n, 0, 27); CROSSREFS Cf. A185384. Sequence in context: A183188 A118364 A294500 * A052544 A204200 A371708 Adjacent sequences: A208478 A208479 A208480 * A208482 A208483 A208484 KEYWORD nonn,easy AUTHOR Emanuele Munarini, Feb 29 2012 STATUS approved

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Last modified September 18 15:05 EDT 2024. Contains 376000 sequences. (Running on oeis4.)