A366089
Expansion of (1/x) * Series_Reversion( x*(1-x)^3/(1-x-x^4) ).
Original entry on oeis.org
1, 2, 7, 30, 142, 715, 3756, 20349, 112864, 637659, 3656775, 21229923, 124531256, 736920158, 4393859967, 26371222935, 159193382812, 965923527255, 5887659026592, 36034716884127, 221362690616841, 1364404640452602, 8435444693847402
Offset: 0
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a(n) = sum(k=0, n\4, (-1)^k*binomial(n+1, k)*binomial(3*n-3*k+1, n-4*k))/(n+1);
A366054
Expansion of (1/x) * Series_Reversion( x*(1-x)^2/(1-x+x^4) ).
Original entry on oeis.org
1, 1, 2, 5, 15, 49, 168, 594, 2149, 7919, 29627, 112254, 429884, 1661308, 6470678, 25375070, 100106145, 397018815, 1582005849, 6330533220, 25428891084, 102497788194, 414445390730, 1680617637425, 6833083703094, 27849689394894, 113762630541908
Offset: 0
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a(n) = sum(k=0, n\4, binomial(n+1, k)*binomial(2*n-3*k, n-4*k))/(n+1);
A366056
Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1-x+x^4) ).
Original entry on oeis.org
1, 3, 15, 91, 613, 4408, 33143, 257400, 2048825, 16625940, 137033316, 1144010387, 9653706723, 82208879366, 705587243802, 6097408839400, 53007770199641, 463269048213536, 4067950092964440, 35871913838983980, 317533385082542404, 2820492099258807887
Offset: 0
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a(n) = sum(k=0, n\4, binomial(n+1, k)*binomial(4*n-3*k+2, n-4*k))/(n+1);
Showing 1-3 of 3 results.