A357966
Expansion of e.g.f. exp( x * (exp(x^2) - 1) ).
Original entry on oeis.org
1, 0, 0, 6, 0, 60, 360, 840, 20160, 75600, 1058400, 10311840, 79833600, 1305944640, 11018367360, 174616041600, 2150397849600, 28661419987200, 473667677683200, 6293779652160000, 114484773731328000, 1766543101087564800, 31640707215390873600
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^2)-1))))
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a(n) = n!*sum(k=0, n\2, stirling(k, n-2*k, 2)/k!);
A357968
Expansion of e.g.f. exp( x * (exp(x^4) - 1) ).
Original entry on oeis.org
1, 0, 0, 0, 0, 120, 0, 0, 0, 181440, 1814400, 0, 0, 1037836800, 43589145600, 217945728000, 0, 14820309504000, 1867358997504000, 30411275102208000, 101370917007360000, 425757851430912000, 140500090972200960000, 5385836820601036800000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^4)-1))))
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a(n) = n!*sum(k=0, n\4, stirling(k, n-4*k, 2)/k!);
A375589
Expansion of e.g.f. 1 / (1 + x - x * exp(x^3)).
Original entry on oeis.org
1, 0, 0, 0, 24, 0, 0, 2520, 40320, 0, 604800, 39916800, 479001600, 259459200, 50854003200, 1961511552000, 21097146470400, 88921857024000, 8002967132160000, 243459152346009600, 2642401903325184000, 38318206628782080000, 2435557926202232832000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x-x*exp(x^3))))
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a(n) = n!*sum(k=0, n\3, (n-3*k)!*stirling(k, n-3*k, 2)/k!);
A375592
Expansion of e.g.f. exp( x * (exp(x^3/6) - 1) ).
Original entry on oeis.org
1, 0, 0, 0, 4, 0, 0, 70, 560, 0, 2800, 92400, 369600, 200200, 19619600, 252252000, 695094400, 5717712000, 171531360000, 1307259553600, 4852431584000, 136882025280000, 2175699958432000, 12698089211808000, 150837908212992000, 3848134863773200000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^3/6)-1))))
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a(n) = n!*sum(k=0, n\3, stirling(k, n-3*k, 2)/(6^k*k!));
Showing 1-4 of 4 results.