A355104
E.g.f. A(x) satisfies A(x) = 1 + 2 * x * A(log(1+x)).
Original entry on oeis.org
1, 2, 8, 36, 128, -120, -5904, 8792, 1015808, -7346016, -403678560, 9772765552, 226781102016, -17673167204576, 72041280334240, 38308664521315920, -1705420687695700992, -64315848872486436736, 11313330167773175073408, -326450445457848188386944
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*i*sum(j=0, i-1, stirling(i-1, j, 1)*v[j+1])); v;
A355097
E.g.f. A(x) satisfies A(x) = 1 + 3 * log(1+x) * A(log(1+x)).
Original entry on oeis.org
1, 3, 15, 87, 414, -333, -36207, -125415, 9692208, 65346480, -6686193834, -28979410023, 9399236141664, -74034590428035, -21601690453093869, 753341807730002715, 64208547156310265880, -6137571162315494165580, -131200755856066508312736
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*sum(j=1, i, j*stirling(i, j, 1)*v[j])); v;
A355120
E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(2 * log(1+x)).
Original entry on oeis.org
1, 1, 3, 26, 654, 45084, 7934924, 3381663872, 3365978050576, 7632454575648720, 38732162420625498608, 434139952882119137261024, 10640704036253473615712677216, 565765176687479152385624223741568, 64834956096893473256448986077914291328
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*2^(j-1)*stirling(i, j, 1)*v[j])); v;
A355204
E.g.f. A(x) satisfies A'(x) = 1 + 2 * A(log(1+x)).
Original entry on oeis.org
1, 2, 2, -4, 0, 68, -588, 2728, 17688, -766960, 14239512, -164672640, -494840680, 109461302008, -4446935274696, 122761839873664, -1889647100968176, -50347073461051088, 6582857386505201520, -397095020380174033424, 17279075935957171412288
Offset: 1
-
a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=2*sum(j=1, i, stirling(i, j, 1)*v[j])); v;
Showing 1-4 of 4 results.