A369128
Expansion of (1/x) * Series_Reversion( x / ((1+x)^5+x^5) ).
Original entry on oeis.org
1, 5, 35, 285, 2530, 23752, 231910, 2331040, 23960235, 250692365, 2661086895, 28587333725, 310217791590, 3395464391870, 37442295427120, 415570885425280, 4638842010800025, 52044582325415025, 586553425250933055, 6637525235622842585, 75387741117556006435
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x/((1+x)^5+x^5))/x)
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a(n) = sum(k=0, n\5, binomial(n+1, k)*binomial(5*n-5*k+5, n-5*k))/(n+1);
A369158
Expansion of (1/x) * Series_Reversion( x / ((1+x)^2+x^4) ).
Original entry on oeis.org
1, 2, 5, 14, 43, 142, 495, 1794, 6686, 25436, 98311, 384826, 1522283, 6075838, 24437937, 98956270, 403080170, 1650502292, 6790018182, 28050896964, 116322826479, 484029536374, 2020386475025, 8457397801150, 35495812337114, 149336478356692, 629685490668799
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x/((1+x)^2+x^4))/x)
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a(n) = sum(k=0, n\4, binomial(n+1, k)*binomial(2*n-2*k+2, n-4*k))/(n+1);
A369156
Expansion of (1/x) * Series_Reversion( x / ((1+x)^4-x^4) ).
Original entry on oeis.org
1, 4, 22, 140, 968, 7064, 53544, 417456, 3326304, 26967040, 221733568, 1844667136, 15498804480, 131325820032, 1120928667264, 9628975973120, 83181462291968, 722175844640768, 6297942966129664, 55143987250677760, 484589284705202176, 4272491458636754944
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x/((1+x)^4-x^4))/x)
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a(n) = sum(k=0, n\4, (-1)^k*binomial(n+1, k)*binomial(4*n-4*k+4, n-4*k))/(n+1);
A369159
Expansion of (1/x) * Series_Reversion( x / ((1+x)^3+x^4) ).
Original entry on oeis.org
1, 3, 12, 55, 274, 1443, 7905, 44593, 257305, 1511553, 9010170, 54361486, 331336454, 2037132958, 12619056108, 78682008194, 493427982703, 3110202012353, 19693920616872, 125214061831251, 799059649687239, 5116372686471627, 32860439054510610
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x/((1+x)^3+x^4))/x)
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a(n) = sum(k=0, n\4, binomial(n+1, k)*binomial(3*n-3*k+3, n-4*k))/(n+1);
A369213
Expansion of (1/x) * Series_Reversion( x / ((1+x)^4+x^2) ).
Original entry on oeis.org
1, 4, 23, 152, 1091, 8264, 65021, 526236, 4352942, 36637576, 312763225, 2701521420, 23567184019, 207343098824, 1837623853627, 16391011930424, 147029997389386, 1325506554640872, 12003342144724338, 109136630802023808, 995907341988015935
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serreverse(x/((1+x)^4+x^2))/x)
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a(n) = sum(k=0, n\2, binomial(n+1, k)*binomial(4*n-4*k+4, n-2*k))/(n+1);
Showing 1-5 of 5 results.