A375167
Expansion of e.g.f. 1 / (1 + x * log(1 - x^2/2)).
Original entry on oeis.org
1, 0, 0, 3, 0, 15, 180, 210, 5040, 51030, 207900, 3991680, 42411600, 356756400, 6485398920, 80635054500, 1040690851200, 19440077857200, 291313362740400, 4914773560897200, 98182334033784000, 1763213788027692000, 35636304386103220800, 778379605589616030000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x*log(1-x^2/2))))
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a(n) = n!*sum(k=0, n\2, (n-2*k)!*abs(stirling(k, n-2*k, 1))/(2^k*k!));
A375558
Expansion of e.g.f. 1 / (1 + x * log(1 - x^4/24)).
Original entry on oeis.org
1, 0, 0, 0, 0, 5, 0, 0, 0, 315, 6300, 0, 0, 150150, 6306300, 94594500, 0, 268017750, 17689171500, 549972423000, 7332965640000, 1283268987000, 117632990475000, 5681673439942500, 155840185781280000, 1961530116170625000, 1606200062942475000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x*log(1-x^4/24))))
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a(n) = n!*sum(k=0, n\4, (n-4*k)!*abs(stirling(k, n-4*k, 1))/(24^k*k!));
A375587
Expansion of e.g.f. 1 / (1 + x - x * exp(x^3/6)).
Original entry on oeis.org
1, 0, 0, 0, 4, 0, 0, 70, 1120, 0, 2800, 184800, 2217600, 200200, 39239200, 1513512000, 16166550400, 11435424000, 1029188160000, 31290941281600, 317363510464000, 821292151680000, 52198475641312000, 1387554839326656000, 14092570281613824000, 92349968764253200000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x-x*exp(x^3/6))))
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a(n) = n!*sum(k=0, n\3, (n-3*k)!*stirling(k, n-3*k, 2)/(6^k*k!));
Showing 1-3 of 3 results.