A301627
G.f. A(x) satisfies: A(x) = 1/(1 - x*A(x)/(1 - x^2*A(x)^2/(1 - x^3*A(x)^3/(1 - x^4*A(x)^4/(1 - ...))))), a continued fraction.
Original entry on oeis.org
1, 1, 2, 6, 20, 71, 265, 1024, 4059, 16414, 67451, 280856, 1182379, 5024361, 21522055, 92833874, 402879747, 1757852317, 7706728006, 33932931008, 149986338830, 665276977574, 2960306454110, 13210976195068, 59114318997648, 265166069469324, 1192145264317628, 5370983954821322
Offset: 0
G.f. A(x) = 1 + x + 2*x^2 + 6*x^3 + 20*x^4 + 71*x^5 + 265*x^6 + 1024*x^7 + 4059*x^8 + 16414*x^9 + 67451*x^10 + ...
log(A(x)) = x + 3*x^2/2 + 13*x^3/3 + 55*x^4/4 + 236*x^5/5 + 1035*x^6/6 + 4593*x^7/7 + 20551*x^8/8 + ... + A291653(n)*x^n/n + ...
A301629
G.f. A(x) satisfies: A(x) = 1/(1 + x*A(x)/(1 + x^2*A(x)^2/(1 + x^3*A(x)^3/(1 + x^4*A(x)^4/(1 + ...))))), a continued fraction.
Original entry on oeis.org
1, -1, 2, -4, 8, -15, 23, -14, -95, 616, -2597, 9280, -29971, 89283, -245617, 614122, -1330205, 2121789, -134318, -18870272, 111955244, -481559262, 1783749762, -5976975892, 18406561660, -52025500982, 132347403714, -285820317372, 421120353772, 271625450178, -5772145145591
Offset: 0
G.f. A(x) = 1 - x + 2*x^2 - 4*x^3 + 8*x^4 - 15*x^5 + 23*x^6 - 14*x^7 - 95*x^8 + 616*x^9 - 2597*x^10 + ...
log(A(x)) = -x + 3*x^2/2 - 7*x^3/3 + 15*x^4/4 - 26*x^5/5 + 15*x^6/6 + 153*x^7/7 - 1049*x^8/8 + ... + A291651(n)*x^n/n + ...
A301411
G.f. A(x) satisfies: A(x) = 1/(1 - x*A(x) - x*A(x)^2/(1 - x*A(x)^3 - x*A(x)^4/(1 - x*A(x)^5 - x*A(x)^6/(1 - ...)))), a continued fraction.
Original entry on oeis.org
1, 2, 12, 108, 1192, 14848, 200432, 2866752, 42853392, 663565616, 10579117744, 172911177584, 2888445810864, 49203276384624, 853289008064304, 15047071017842928, 269585532569464752, 4904425594952671344, 90570287337341726256, 1697589267552262891760, 32295562088556275945136
Offset: 0
G.f. A(x) = 1 + 2*x + 12*x^2 + 108*x^3 + 1192*x^4 + 14848*x^5 + 200432*x^6 + 2866752*x^7 + 42853392*x^8 + ...
A301418
G.f. A(x) satisfies: A(x) = 1/(1 - x*A(x)/(1 - x*A(x)/(1 - x*A(x)^2/(1 - x*A(x)^2/(1 - x*A(x)^3/(1 - x*A(x)^3/(1 - ...))))))), a continued fraction.
Original entry on oeis.org
1, 1, 3, 12, 56, 288, 1584, 9153, 54940, 339937, 2156457, 13970079, 92147905, 617468715, 4195848863, 28873188732, 200982289554, 1413914236788, 10045715705912, 72041560145703, 521233406146366, 3803409400869139, 27982484503275869, 207531162828185908, 1551323994123301229
Offset: 0
G.f. A(x) = 1 + x + 3*x^2 + 12*x^3 + 56*x^4 + 288*x^5 + 1584*x^6 + 9153*x^7 + 54940*x^8 + ...
Showing 1-4 of 4 results.