A366495
G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(3/2)*A(x)^(5/2).
Original entry on oeis.org
1, 1, 4, 16, 74, 366, 1900, 10210, 56315, 317005, 1813860, 10518652, 61684208, 365177622, 2179549853, 13100686947, 79232836206, 481821573994, 2944253855746, 18069720545174, 111333779015326, 688399685561554, 4270250156814421, 26567075153764929
Offset: 0
-
a(n) = sum(k=0, n, binomial(3*k/2, n-k)*binomial(5*k/2, k)/(3*k/2+1));
A366496
G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(5/2)*A(x)^(7/2).
Original entry on oeis.org
1, 1, 6, 36, 251, 1891, 15007, 123593, 1046444, 9052330, 79660406, 710879890, 6418000050, 58515227946, 538008396198, 4982752630656, 46442071874398, 435299781856712, 4100411743983559, 38797120485576155, 368561495153257186, 3513923237883474314
Offset: 0
-
a(n) = sum(k=0, n, binomial(5*k/2, n-k)*binomial(7*k/2, k)/(5*k/2+1));
A366497
G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(7/2)*A(x)^(9/2).
Original entry on oeis.org
1, 1, 8, 64, 596, 6028, 64352, 713812, 8146490, 95040886, 1128369960, 13588883712, 165598378308, 2038279921692, 25303322898120, 316443054086214, 3983011314348183, 50418720131975193, 641444450506307160, 8197477211343267688, 105185927879224420064
Offset: 0
-
a(n) = sum(k=0, n, binomial(7*k/2, n-k)*binomial(9*k/2, k)/(7*k/2+1));
A366498
G.f. A(x) satisfies A(x) = 1 + x / ((1+x)^(5/2)*A(x)^(3/2)).
Original entry on oeis.org
1, 1, -4, 16, -74, 386, -2180, 12974, -80087, 507887, -3288564, 21649068, -144458484, 974838450, -6641303895, 45615642021, -315530731215, 2196107692119, -15368596890978, 108073850591598, -763293549312084, 5412015893523096, -38508964818580799
Offset: 0
-
a(n) = (-1)^(n-1)*sum(k=0, n, binomial(n+3*k/2-1, n-k)*binomial(5*k/2-1, k)/(5*k/2-1));
A366500
G.f. A(x) satisfies A(x) = 1 + x / ((1+x)^(7/2)*A(x)^(5/2)).
Original entry on oeis.org
1, 1, -6, 36, -251, 1961, -16477, 145307, -1326227, 12420057, -118666032, 1152120806, -11333969511, 112728949041, -1131701419316, 11452480598696, -116702578057106, 1196469605151736, -12332629378843566, 127727907921601146, -1328542834131885506
Offset: 0
-
a(n) = (-1)^(n-1)*sum(k=0, n, binomial(n+5*k/2-1, n-k)*binomial(7*k/2-1, k)/(7*k/2-1));
A366501
G.f. A(x) satisfies A(x) = 1 + x / ((1+x)^4*A(x)^3).
Original entry on oeis.org
1, 1, -7, 49, -399, 3633, -35511, 363937, -3858079, 41951521, -465296487, 5243459409, -59865074223, 690979478481, -8049598938135, 94522387901505, -1117615459764031, 13294669980012865, -158995530738069703, 1910555096402418545, -23056131790988675279
Offset: 0
-
a(n) = (-1)^(n-1)*sum(k=0, n, binomial(n+3*k-1, n-k)*binomial(4*k-1, k)/(4*k-1));
Showing 1-6 of 6 results.