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A102516 Sum C(n-3k,3k+1), k=0..floor(n/6). 1

%I #8 Aug 06 2018 17:50:55

%S 0,1,2,3,4,5,6,8,13,24,45,81,138,224,352,546,851,1348,2175,3556,5843,

%T 9582,15624,25317,40836,65737,105863,170796,276160,447272,724968,

%U 1174985,1903186,3080367,4982688,8057421,13029534,21074012,34094041

%N Sum C(n-3k,3k+1), k=0..floor(n/6).

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1,0,0,1).

%F G.f.: x(1-x)/((1-x)^3-x^6); a(n)=sum{k=0..floor(n/6), C(n-3k, 3k+1)}.

%t LinearRecurrence[{3,-3,1,0,0,1},{0,1,2,3,4,5},40] (* _Harvey P. Dale_, Aug 06 2018 *)

%Y Cf. A101551.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Jan 13 2005

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)