A368079
Expansion of (1/x) * Series_Reversion( x * (1-x)^3 * (1-x^2)^3 ).
Original entry on oeis.org
1, 3, 18, 127, 996, 8322, 72644, 654615, 6043455, 56866028, 543368586, 5258196762, 51426990112, 507537393600, 5048033356128, 50549237164615, 509197913456922, 5156339940802941, 52460340305220466, 535976129228082972, 5496745175387480976
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)^3*(1-x^2)^3)/x)
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a(n, s=2, t=3, u=3) = sum(k=0, n\s, binomial(t*(n+1)+k-1, k)*binomial((u+1)*(n+1)-s*k-2, n-s*k))/(n+1);
A369299
Expansion of (1/x) * Series_Reversion( x * (1-x) * (1-x^3)^3 ).
Original entry on oeis.org
1, 1, 2, 8, 29, 105, 417, 1719, 7181, 30603, 132736, 582790, 2585352, 11575613, 52237278, 237328704, 1084701387, 4983867447, 23007263941, 106658256768, 496336303014, 2317687534865, 10856677523580, 51001805706435, 240225121539000, 1134240896062656, 5367428039668751
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)*(1-x^3)^3)/x)
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a(n, s=3, t=3, u=1) = sum(k=0, n\s, binomial(t*(n+1)+k-1, k)*binomial((u+1)*(n+1)-s*k-2, n-s*k))/(n+1);
A369300
Expansion of (1/x) * Series_Reversion( x * (1-x)^2 * (1-x^3)^3 ).
Original entry on oeis.org
1, 2, 7, 33, 173, 962, 5589, 33546, 206359, 1294096, 8242375, 53173095, 346724250, 2281555440, 15131448440, 101038950441, 678724811604, 4583483218340, 31098830566098, 211898222878937, 1449322361547669, 9947227335902244, 68486384818253877
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)^2*(1-x^3)^3)/x)
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a(n, s=3, t=3, u=2) = sum(k=0, n\s, binomial(t*(n+1)+k-1, k)*binomial((u+1)*(n+1)-s*k-2, n-s*k))/(n+1);
A369403
Expansion of (1/x) * Series_Reversion( x / (1+x)^3 * (1-x^3)^3 ).
Original entry on oeis.org
1, 3, 12, 58, 318, 1887, 11775, 76041, 503607, 3401326, 23337339, 162214074, 1139835938, 8083530360, 57783277608, 415904602938, 3011669994078, 21924967877547, 160374157346266, 1178091991206162, 8687419007293458, 64285383562018856, 477208235856114384
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x/(1+x)^3*(1-x^3)^3)/x)
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a(n, s=3, t=3, u=3) = sum(k=0, n\s, binomial(t*(n+1)+k-1, k)*binomial(u*(n+1), n-s*k))/(n+1);
Showing 1-4 of 4 results.