A385946
a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(k+4,4) * binomial(n-1,k) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 6, 106, 4176, 316696, 42104392, 9172761368, 3106804304704, 1567537597699840, 1137145604406018176, 1151190083860345401984, 1585522852991230263395584, 2906652632758146061798315776, 6959140466024956612239458880000, 21400639132670591710876896798678016
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, binomial(j+4, 4)*binomial(i-1, j)*v[j+1]*v[i-j])); v;
A385947
a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(k+5,5) * binomial(n-1,k) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 7, 166, 10029, 1321025, 341733205, 160453080950, 128422430092385, 166469443066352440, 334968718604910165425, 1009644894131844004090200, 4422360688027934597152329025, 27423466157672001507611296316100, 235350249980804930971638499216115775
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, binomial(j+5, 5)*binomial(i-1, j)*v[j+1]*v[i-j])); v;
A385952
a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(k+3,3) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 5, 59, 1309, 48790, 2840931, 244770680, 29887602613, 4993307581843, 1108754325139526, 319359741512132370, 116893982001130825135, 53422902443413341967604, 30024521959524315980717288, 20477109546794819263709728560, 16750490995674468051531269811269
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, binomial(j+3, 3)*v[j+1]*v[i-j])); v;
A385948
a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(k+6,6) * binomial(n-1,k) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 8, 246, 21750, 4689546, 2197062708, 2046202234224, 3528088593902364, 10627093734265740672, 53295889303479275834616, 427383379745842299684115608, 5294446934064450139154214169992, 98355143996083993836475641916586304, 2669951662594756888115675117287929721248
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, binomial(j+6, 6)*binomial(i-1, j)*v[j+1]*v[i-j])); v;
A386511
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} (1 + k) * binomial(k+2,3) * binomial(n-1,k) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 3, 43, 1889, 198661, 42947941, 17142237365, 11658352652969, 12696712215226345, 21077148910182673081, 51239319321668728761281, 176469705716413028667777349, 837352955330191136544190873989, 5345677943448502627987168885274813, 44983970430636919384496638254796550221
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=v[i]+sum(j=0, i-1, (1+j)*binomial(j+2, 3)*binomial(i-1, j)*v[j+1]*v[i-j])); v;
Showing 1-5 of 5 results.