A386443
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} k^2 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 11, 120, 2166, 58642, 2231959, 113926332, 7522541374, 624529876412, 63711767096254, 7837308575551868, 1144321503810951264, 195687862794184808186, 38747465910056072904383, 8795888226933223095245628, 2269380895962602685279019270, 660399219910352767447886420340
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, j^2*v[j+1]*v[i-j])); v;
A386444
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} k^3 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 19, 550, 36314, 4612644, 1005608259, 346940795318, 178328747938574, 130358697631572620, 130619605078238043630, 174116069712361545382300, 301220935342882714418320660, 662385014999576998657776303368, 1818909557774291764795223960949603, 6142458248209027135766781428841480918
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, j^3*v[j+1]*v[i-j])); v;
A386445
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} k^4 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 35, 2904, 749262, 469791130, 609789812623, 1465325443822620, 6004904311876287022, 39410188505158004325524, 394180711528456847821432318, 5771988198703021102520933624372, 119699491661363792184803354859998664, 3418976586120192927373434641290957978490
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, j^4*v[j+1]*v[i-j])); v;
A386447
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} k^6 * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 2, 131, 95760, 392424606, 6132419429842, 286126426174265119, 33663060172069656177612, 8824636572155130972996888814, 4689791333849576329442118802082252, 4689800713441077274969296364554337253614, 8308277421310507219950890075481144453543272228
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, j^6*v[j+1]*v[i-j])); v;
A386508
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} (1 + k) * k^5 * binomial(n-1,k) * a(k) * a(n-1-k).
Original entry on oeis.org
1, 1, 3, 295, 287917, 1475577461, 27675935977381, 1506650312499716245, 202590228421127415254121, 59748112811137686928254493705, 35281260624146463343889980853779081, 38809774783723742261321649306513968984201, 75004702183951627532765950774478944180316824189
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)*j^5*binomial(i-1, j)*v[j+1]*v[i-j])); v;
Showing 1-5 of 5 results.