A385874
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, 8, 57, 639, 10357, 229588, 6686619, 248013315, 11425386222, 640413284553, 42933889931191, 3393203732253145, 312268381507616935, 33107736233111305459, 4006699123399932333697, 548987463226205098599755, 84552444466155546810368421, 14544161652321384236939516147
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, binomial(j+1, 2)*v[j+1]*v[i-j])); v;
A385875
a(n) = 1 + Sum_{k=0..n-1} binomial(k+2,3) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 10, 111, 2347, 84757, 4837213, 411373408, 49787445476, 8265626303452, 1826809978098228, 524311794034090050, 191377585766768936606, 87269255118865044728501, 48958442598180565027265909, 33340876732769115354996751746, 27239595466972699678481509900786
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, binomial(j+2, 3)*v[j+1]*v[i-j])); v;
A385876
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, 12, 193, 6968, 495189, 62906143, 13274340034, 4393943557987, 2179423896462618, 1560476564415661780, 1563601961040080858376, 2135883440687340361131857, 3889446901597262416621276499, 9260777373178278371280728311304, 28347247357191779349093896687278933
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+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;
Showing 1-4 of 4 results.