A367878
Expansion of e.g.f. 1/(1 + 2 * x * log(1-x)).
Original entry on oeis.org
1, 0, 4, 6, 112, 540, 8688, 78960, 1343872, 18162144, 346968000, 6157134720, 134058110976, 2912224423680, 72152130903552, 1839996238429440, 51471401675489280, 1500206702407741440, 46934038380170391552, 1535198134749947965440
Offset: 0
-
a(n) = n!*sum(k=0,n\2, 2^k*k!*abs(stirling(n-k, k, 1))/(n-k)!);
A375684
Expansion of e.g.f. 1 / (1 - x * log(1 - x)).
Original entry on oeis.org
1, 0, -2, -3, 16, 90, -204, -4200, -5312, 254016, 1586160, -17970480, -294932736, 790115040, 54224747136, 216483714720, -10481294822400, -137535688281600, 1798183916660736, 58769251106526720, -95282580797291520, -23811620975395061760, -203282679617698222080
Offset: 0
-
my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*log(1-x))))
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a(n) = n!*sum(k=0, n\2, (-1)^k*k!*abs(stirling(n-k, k, 1))/(n-k)!);
A375688
Expansion of e.g.f. 1 / (1 + 3 * x * log(1 - x))^(1/3).
Original entry on oeis.org
1, 0, 2, 3, 56, 270, 4824, 44520, 866816, 12195792, 267873120, 5073187680, 126754229568, 2999710359360, 85061489235072, 2400155295632640, 76724104598031360, 2502434971473937920, 89428428468644493312, 3300036525511418327040
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+3*x*log(1-x))^(1/3)))
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a(n) = n!*sum(k=0, n\2, prod(j=0, k-1, 3*j+1)*abs(stirling(n-k, k, 1))/(n-k)!);
A375689
Expansion of e.g.f. 1 / (1 + 3 * x * log(1 - x))^(2/3).
Original entry on oeis.org
1, 0, 4, 6, 136, 660, 13188, 123480, 2584160, 37044000, 855658800, 16536548160, 428924382720, 10358056051200, 302474317729920, 8701780305254400, 284949736641177600, 9464366170599782400, 345224605512559518720, 12956112412535827353600
Offset: 0
-
my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+3*x*log(1-x))^(2/3)))
-
a(n) = n!*sum(k=0, n\2, prod(j=0, k-1, 3*j+2)*abs(stirling(n-k, k, 1))/(n-k)!);
Showing 1-4 of 4 results.