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A231621 a(n) = A000930(n*(n+1)/2), where A000930 is Narayana's cows sequence. 2

%I #7 Apr 27 2017 10:34:41

%S 1,1,2,6,28,189,1873,27201,578949,18059374,825604416,55315679788,

%T 5431645680297,781666575692345,164861247948842305,

%U 50959194632488457965,23085190353310504913320,15326793132326730009566200,14913379277290330452859885202,21267074956884103635776195255433,44447403127130268192387935737712641

%N a(n) = A000930(n*(n+1)/2), where A000930 is Narayana's cows sequence.

%H G. C. Greubel, <a href="/A231621/b231621.txt">Table of n, a(n) for n = 0..100</a>

%F a(n) = [x^(n*(n+1)/2)] 1 / (1 - x - x^3) for n>=0.

%t Table[SeriesCoefficient[1/(1 - x - x^3), {x, 0, n*(n + 1)/2}], {n,0,50}] (* _G. C. Greubel_, Apr 26 2017 *)

%o (PARI) {a(n) = polcoeff(1/(1-x-x^3 + x*O(x^(n*(n+1)/2))), n*(n+1)/2)}

%o for(n=0, 20, print1(a(n), ", "))

%Y Cf. A000930, A231620.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Nov 13 2013

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Last modified May 10 18:31 EDT 2024. Contains 372388 sequences. (Running on oeis4.)