A385840
a(n) = 1 + Sum_{k=0..n-1} k^2 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 10, 101, 1733, 45303, 1680907, 84166419, 5475072843, 449157456364, 45377436182152, 5537042709272831, 802969519178558759, 136516626968319610486, 26895468447194766859402, 6078661245454015521843883, 1562271796018872884111521763, 453071380100390505646644605866
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, j^2*v[j+1]*v[i-j])); v;
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;
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;
A385877
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, 14, 309, 17637, 2240632, 566921596, 262489646519, 208155482551991, 268104800528280951, 537014337938584568385, 1613191612128443060280697, 7048035233444754041436840277, 43620293298146615746333469478901, 373782307403691698916363133787269075
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+4, 5)*v[j+1]*v[i-j])); v;
Showing 1-5 of 5 results.