A370579
a(n) = n! * Sum_{d|n} 1/(d-1)!.
Original entry on oeis.org
1, 4, 9, 52, 125, 1806, 5047, 87368, 544329, 7408810, 39916811, 1281329292, 6227020813, 174477663374, 2015997984015, 45336862771216, 355687428096017, 16059446167564818, 121645100408832019, 5372665305815808020, 76707372899469312021, 2248001765299683993622
Offset: 1
-
a(n) = n!*sumdiv(n, d, 1/(d-1)!);
-
my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, x^k*exp(x^k))))
A370581
a(n) = n! * Sum_{d|n} d/(d! * (n/d)!).
Original entry on oeis.org
1, 3, 4, 17, 6, 307, 8, 5049, 30250, 105851, 12, 25945933, 14, 77837775, 14529715216, 147891744017, 18, 13435316294419, 20, 7606841430988821, 16895152834560022, 183030822374423, 24, 387276381308571955225, 5385836820601036800026, 485735643993600027
Offset: 1
-
a(n) = n!*sumdiv(n, d, d/(d!*(n/d)!));
-
my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, x^k/k!*exp(x^k))))
A370604
a(n) = n! * Sum_{d|n} 1/((d-1)! * (n/d)^d).
Original entry on oeis.org
1, 3, 5, 16, 29, 251, 727, 7988, 47049, 512767, 3628811, 58012582, 479001613, 8007115559, 92633212687, 1648230784216, 20922789888017, 449622885136443, 6402373705728019, 146721895942876274, 2507411046373376021, 60380204535989936347, 1124000727777607680023
Offset: 1
-
a(n) = n!*sumdiv(n, d, 1/((d-1)!*(n/d)^d));
-
my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, x^k/k*exp(x^k/k))))
Showing 1-3 of 3 results.