A358080
Expansion of e.g.f. 1/(1 - x^2 * exp(x)).
Original entry on oeis.org
1, 0, 2, 6, 36, 260, 2190, 21882, 248696, 3181320, 45229050, 707208590, 12063902532, 222939837276, 4436813677478, 94605994108290, 2151763873634160, 51999544476324752, 1330540380342907506, 35936656483848501654, 1021700660649312689660
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x^2*exp(x))))
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a(n) = n!*sum(k=0, n\2, k^(n-2*k)/(n-2*k)!);
A370985
Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x^3*exp(x)) ).
Original entry on oeis.org
1, 0, 0, 6, 24, 60, 3000, 45570, 403536, 10644984, 297562320, 5517833310, 142801022760, 5076208052916, 150282366476424, 4713707747551530, 189345734667052320, 7517503455423740400, 295622259241028433696, 13370535071068474177974, 642403497550155241197240
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x^3*exp(x)))/x))
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a(n) = sum(k=0, n\3, k^(n-3*k)*(n+k)!/(k!*(n-3*k)!))/(n+1);
A366546
Expansion of e.g.f. -log(1 - x^3 * exp(x)).
Original entry on oeis.org
0, 0, 0, 6, 24, 60, 480, 5250, 40656, 363384, 4839120, 65198430, 859543080, 13311494196, 233478687624, 4190929145130, 79746180437280, 1667320408619760, 36965002127643936, 854734007793179574, 20962277675893792440, 544839141515795731500
Offset: 0
A375630
Expansion of e.g.f. exp(2*x) / (1 - x^3 * exp(x)).
Original entry on oeis.org
1, 2, 4, 14, 88, 572, 4024, 37298, 404464, 4601528, 58426864, 846080798, 13209174136, 219868220756, 3981563464792, 77708414601098, 1606665377716576, 35246223612156272, 821962294211430496, 20227931586257247542, 522932344617513862696, 14204133017700173041292
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(2*x)/(1-x^3*exp(x))))
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a(n) = n!*sum(k=0, n\3, (k+2)^(n-3*k)/(n-3*k)!);
Showing 1-4 of 4 results.