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
-
my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)^2*(1-x^3)^3)/x)
-
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);
A369296
Expansion of (1/x) * Series_Reversion( x * (1-x) * (1-x^3)^2 ).
Original entry on oeis.org
1, 1, 2, 7, 24, 84, 315, 1225, 4859, 19646, 80739, 336050, 1413587, 6000777, 25674462, 110598855, 479286932, 2088036939, 9139604421, 40174594432, 177267942918, 784889441217, 3486198469890, 15529021825140, 69355660644738, 310509670642611, 1393296782758244
Offset: 0
-
my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)*(1-x^3)^2)/x)
-
a(n, s=3, t=2, 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);
A369301
Expansion of (1/x) * Series_Reversion( x * (1-x)^3 * (1-x^3)^3 ).
Original entry on oeis.org
1, 3, 15, 94, 657, 4902, 38236, 308025, 2542965, 21401780, 182934144, 1583745114, 13858675065, 122379042879, 1089156646584, 9759520978270, 87975115569873, 797233088237190, 7258632128721117, 66367727370376632, 609132332475784548, 5610015849998778144
Offset: 0
-
my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x)^3*(1-x^3)^3)/x)
-
a(n, s=3, 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);
A369401
Expansion of (1/x) * Series_Reversion( x / (1+x) * (1-x^3)^3 ).
Original entry on oeis.org
1, 1, 1, 4, 16, 46, 139, 511, 1891, 6707, 24366, 91840, 348236, 1320309, 5056414, 19565036, 76077330, 296994727, 1165438921, 4594915664, 18181401268, 72176250259, 287450966807, 1148178877918, 4598148937702, 18458646079181, 74267340207247
Offset: 0
-
my(N=30, x='x+O('x^N)); Vec(serreverse(x/(1+x)*(1-x^3)^3)/x)
-
a(n, s=3, t=3, u=1) = 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.