A367754
E.g.f. satisfies A(x) = exp(x * (1 + x) * A(x^2/2)).
Original entry on oeis.org
1, 1, 3, 10, 49, 276, 1921, 14533, 127905, 1214524, 12923641, 146976501, 1828895113, 24160939960, 343798990809, 5162735472196, 82578544952641, 1387325644153368, 24621686929968625, 457066782857330929, 8906813110169504841, 180902690843146001416
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=(i-1)!*sum(j=0, i-1, (j+1)*v[j\2+1]*v[i-j]/(2^(j\2)*(j\2)!*(i-1-j)!))); v;
A367755
E.g.f. satisfies A(x) = exp(x * (1 + x + x^2) * A(x^3/6)).
Original entry on oeis.org
1, 1, 3, 13, 53, 301, 1951, 13203, 105673, 919873, 8472491, 86799241, 948033373, 10924180853, 135880443063, 1780842778471, 24496224075921, 357483642165313, 5454904465819603, 86909842633518373, 1453042115780967941, 25262405474642837341
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=(i-1)!*sum(j=0, i-1, (j+1)*v[j\3+1]*v[i-j]/(6^(j\3)*(j\3)!*(i-1-j)!))); v;
A367757
E.g.f. satisfies A(x) = exp(x * (1 + x + x^2 + x^3 + x^4) * A(x^5/120)).
Original entry on oeis.org
1, 1, 3, 13, 73, 501, 3337, 27637, 254409, 2557369, 27603631, 313768731, 3905502745, 51573777841, 718307494269, 10507900625251, 161239887204721, 2608009648536417, 43989477103304155, 772109936171046001, 14085074476090366761, 266890182641557777093
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=(i-1)!*sum(j=0, i-1, (j+1)*v[j\5+1]*v[i-j]/(120^(j\5)*(j\5)!*(i-1-j)!))); v;
Showing 1-3 of 3 results.