A354574
E.g.f. A(x) satisfies A(x) = 1 + x * A(1 - exp(-x)).
Original entry on oeis.org
1, 1, 2, 3, -8, -65, 366, 4284, -71392, -377919, 28218760, -249587877, -14356069056, 587285561746, 153563287892, -954498079774950, 39921820513516256, 533333406684245239, -158979463609003391970, 8008135971419079188618, 190727236066813163686860
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*sum(j=0, i-1, (-1)^(i-j-1)*stirling(i-1, j, 2)*v[j+1])); v;
A355093
E.g.f. A(x) satisfies A(x) = 1 + 2 * (1 - exp(-x)) * A(1 - exp(-x)).
Original entry on oeis.org
1, 2, 6, 14, -50, -838, 1730, 136530, -486826, -53845210, 608573414, 39761626434, -1250658124134, -39125693738246, 3470290682698798, 1980500546819286, -11592469556319388642, 475984934077375262394, 35772633977318034763762
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*sum(j=1, i, (-1)^(i-j)*j*stirling(i, j, 2)*v[j])); v;
A355094
E.g.f. A(x) satisfies A(x) = 1 + 3 * (1 - exp(-x)) * A(1 - exp(-x)).
Original entry on oeis.org
1, 3, 15, 84, 321, -2157, -57126, -23496, 19229199, 114026754, -14369595177, -124727102772, 21679898019936, 89714147328354, -57010454409251982, 653678598376462566, 223463102168891738085, -9691395708350731626375, -1087655068021435814109648
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, (-1)^(i-j)*j*stirling(i, j, 2)*v[j])); v;
A355123
E.g.f. A(x) satisfies A(x) = 1 + (1 - exp(-x)) * A(2 * (1 - exp(-x))).
Original entry on oeis.org
1, 1, 3, 25, 611, 41721, 7326115, 3120454233, 3105527125475, 7041597540281017, 35733375744777784867, 400526056950063657595929, 9816824637930442994222501475, 521959475771315485798501882623609, 59814953381855591853355367174623538851
Offset: 0
-
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, (-1)^(i-j)*j*2^(j-1)*stirling(i, j, 2)*v[j])); v;
Showing 1-4 of 4 results.