A371119
E.g.f. satisfies A(x) = 1 + x*A(x)*(exp(x*A(x)) - 1).
Original entry on oeis.org
1, 0, 2, 3, 52, 305, 4866, 57337, 1048776, 18547713, 407900710, 9436057961, 248501026236, 7021087254337, 217488458525898, 7223642070331065, 258233053457437456, 9841074705853124609, 399304906991091898830, 17163110041947804495817, 779646387683354742170820
Offset: 0
-
a(n) = n!^2*sum(k=0, n\2, stirling(n-k, k, 2)/((n-k)!*(n-k+1)!));
A376293
E.g.f. satisfies A(x) = 1 + (x*A(x))^3 * (exp(x*A(x)) - 1).
Original entry on oeis.org
1, 0, 0, 0, 24, 60, 120, 210, 161616, 1633464, 10584720, 54886590, 10785520680, 243865703796, 3309354530664, 34340235932730, 3229131046905120, 123251776925401200, 2846181122195004576, 49221175229381943414, 3060186440577720774840
Offset: 0
-
a(n) = n!^2*sum(k=0, n\4, stirling(n-3*k, k, 2)/((n-3*k)!*(n-k+1)!));
A371304
E.g.f. satisfies A(x) = 1/(1 - x^2*(exp(x*A(x)) - 1)).
Original entry on oeis.org
1, 0, 0, 6, 12, 20, 1470, 12642, 70616, 2131992, 39352410, 470186750, 11032124532, 295053244356, 5896487364950, 146264289411450, 4625791393554480, 130492119237611312, 3837833086814864946, 135471306780659593206, 4800394977109827314060
Offset: 0
-
a(n) = n!*sum(k=0, n\3, (n-k)!*stirling(n-2*k, k, 2)/((n-2*k)!*(n-2*k+1)!));
Showing 1-3 of 3 results.