A366090
Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1-x-x^4) ).
Original entry on oeis.org
1, 3, 15, 91, 611, 4370, 32637, 251550, 1985895, 15976676, 130508070, 1079562159, 9024791689, 76124252326, 647089873598, 5537663661590, 47670889706375, 412524981860848, 3586502483999720, 31311765471265548, 274398528604427286
Offset: 0
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a(n) = sum(k=0, n\4, (-1)^k*binomial(n+1, k)*binomial(4*n-3*k+2, 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);
A366055
Expansion of (1/x) * Series_Reversion( x*(1-x)^3/(1-x+x^4) ).
Original entry on oeis.org
1, 2, 7, 30, 144, 741, 3996, 22287, 127494, 743919, 4410255, 26489073, 160843708, 985729010, 6089215057, 37875775533, 237021929322, 1491204370335, 9426547131330, 59843910602283, 381378377720469, 2438954925930558, 15646857920046108
Offset: 0
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a(n) = sum(k=0, n\4, binomial(n+1, k)*binomial(3*n-3*k+1, n-4*k))/(n+1);
Showing 1-3 of 3 results.