A386452
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} binomial(k+1,2) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 9, 71, 856, 14639, 338086, 10167592, 386920264, 18200571057, 1037970049307, 70605576249333, 5649723531576365, 525507834721871564, 56235831305760575845, 6861362229615344431713, 946930149578851143467375, 146781656943702604491445861, 25394248429778915431816805711
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, binomial(j+1, 2)*v[j+1]*v[i-j])); v;
A386454
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} binomial(k+3,4) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 13, 220, 8148, 586948, 75141039, 15930666825, 5289069956220, 2628685323745449, 1884772989271329869, 1890430039448133854031, 2584219798288871040676608, 4708450397910844142927823544, 11215531466814325127916787062534, 34341962107081618846057340207455738
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, binomial(j+3, 4)*v[j+1]*v[i-j])); v;
A386455
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} binomial(k+4,5) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 15, 344, 19962, 2555592, 649147331, 301207446317, 239159429472132, 308276821981867349, 617786997525975886618, 1856450241316927094671750, 8112688179283378712969957414, 50217541700003149682333160103969, 430364340522944093019900101527085125
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, binomial(j+4, 5)*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 1-4 of 4 results.